Triple engine failure; which would you choose to keep left? It is well known that planes with two engines must be able to land with one engine inoperable for their certification, and that four engine planes with two inoperable.

Now, suppose you had a four engine plane with 3 engines inoperable, and only one remaining. In terms of the greatest likelihood of survivability of this incident, is it at all favourable to have the engine closest to the body of the plane active, or the one further out?

As far as I can see it, there are two main ways to tackle this; one is by looking at incidents where triple engine failure occurred (which is very rare) and seeing whether it makes a difference. 

The other approach is how does it affect the controllability and maneuverability of the aircraft theoretically or based on testing depending on if one has the jet engine closest to the body active, or the one further out on the wing. It may be that the difference is negligible, but I'd be curious if there can be some argument made to favour one option.

There would be other variables to take into account, so to narrow it down a little more, I am considering only jet engines, on aircrafts used for commercial flight.
Using the inner engines allows you to maneuver easier as the yaw moment is smaller in comparison to the outboard engine which also means you need less rudder inputs to keep the course. The big advantage of needing less rudder to keep a straight path of flight is that you can react better because the rudder can move a bit more.

Which sides engine to use is depending on the wind situation (I would use the engine on the side the wind is coming from as you can turn into the wind better to keep your course) and other influences like if you need to turn left or right more often; avoid turning into a dead engine as Terry already mentioned).