Collect the medikit on the right table.
Open the door and step outside.
Jump onto the chain on the right.
Climb up a bit and swing towards the balcony.
Kill the baddy.
Run up the stairs and kill the next baddy you meet.
Take a running jump out of the window and onto the ledge.
Pull up and walk along the wall to the left.
At the end you will come to a ledge where to baddies are guarding the entrance.
You can sneak past them when you stay at the wall.
Kill them.
Inside is a third guy.
Run up the stairs.
Take a running jump out of the window onto the ledge opposite.
Walk along the wall to the left.
There is another spot where you can use the whip.
Swing onto the next platform.
Walk around the corner to find a couple of chains.
Jump onto the first one.
Climb up, turn towards the second chain, swing into that direction and jump onto it.
Climb further up, swing and jump towards the platform.
Walk around the corner and jump onto the next chain.
Climb up to get towards the tower.
Jump into it.
Step into the lift and press the button.
It will take you up.
Use the lever to open the tower window.
Climb up the ladder.
Use the switch.
Indy will use the glider to reach another tower.
Pull up.
Look around, you have to hurry on your way out.
Pick up the Soul Crystal.
The room fills with gas.
Turn around and climb onto the bookshelf on the right.
Climb to the left.
There you can use the whip.
Turn towards the chandelier and take a running jump to get there.
Swing through the window.
There you can breath again.
Jump onto the chain.
Climb down and swing onto the platform underneath.
Jump onto the next chain.
Climb down and jump into the tower.
Run down and open the door.
Step through.

---