Here's a large overview of the area:
If the total time aloft was only 30-60 seconds, then the Chucua 1 departure (130 degree left turn at 9200 feet) with multiple engine failures would have them putting down where they did.
If the flight lasted several minutes, then perhaps after engine #4's problem at liftoff they continued straight ahead to BOG VOR instead of the normal turn, swung around and headed down the 145 radial to intercept the ILS to 13R, but subsequent failure(s) saw them continue along the 145 for the forced landing.
Some possible tracks:
Here's the final approach:
Gear down and locked?
