The Giant Dwarf

Go through cave entrance east to Keldagrim.

Talk to the Dwarven Boatman inside the cave, not Dwarven Ferryman.

Go west to the Black Guard H.Q. Enter the building and talk to Commander Veldaban. The chat instance should end with you accepting the quest.

Exit the house, go north-east across the bridge and talk to Blasidar the Sculptor just north-west of the brewery.

In the large building just west, talk to Vermundi at the silk icon.

In the building west of the northern bridge, talk to the Librarian.

While weighing less than 30kg, attempt to climb any bookcase (there's a bank south-west of the library if you're over the limit).

With the book, return to Vermundi.

Use coal and logs on her spinning machine.

Try to light it until the engine starts. (This may take several attempts)

Talk to Vermundi.

In the far west of the city, talk to Saro at the anvil icon.

North of the bank, talk to Dromund.

Take the left boot, from the table near the door, while his back is turned.

Leave his house and run around to the north edge, stand next to the western window (adjacent to the right boot).

When his back is turned, cast Telekinetic Grab on the right boot through the window.

Go to the north-west corner and talk to Santiri.

Use 3 sapphires on the battleaxe.

If you have not completed The Knight's Sword:

Take a redberry pie with you when you talk to Thurgo.

Talk to Thurgo in his small hut (fairy ring ), south of Port Sarim, and north of Mudskipper Point.

If The Knight's Sword is complete

Have an iron bar to give to Thurgo (or access your metal bank via the anvil next to Thurgo to obtain one which is stored in it).

With the 4 items, talk to Riki the sculptor's model near Blasidar the sculptor.

Talk to Blasidar for a cutscene.

In the event you do not possess the ore or bars the secretary or director assigns as your task, you do not have to accept it, simply cancel the dialogue and request another task. This may make you have to do more than 4 tasks though as you may lose favour declining too many tasks.

Run west to the marketplace (the biggest building in the map) building and up the stairs.

Talk to any secretary (yellow is closest to metal bank) - your character's gender may disqualify your eligibility to work for that colour of company, consequently try another colour.

Fetch them the required ore (must be un-noted). Repeat with the same secretary for a total of 4 tasks.

Talk to the director.

Fetch them the required bars. You might need to repeat for a second task.

Talk to the director.

Return to Commander Veldaban in Black Guard headquarters, where you started the quest (west of the palace and west of the bank).

Quest complete!