A Kilomax 15 will work very well in a cabinet the size of the Theater Series four π, as long as the box is tuned to 40Hz. Like the JBL 2226, the Kilomax 15 works in a relatively wide range of cabinet sizes, as long as its tuned to 40Hz. If you tune above this, the response will be peaked and if you tune below, it will be shelved.This larger chamber is essentially the same cabinet configuration as is used for a sub with the Kilomax 18, Omega 18 or the JBL 2242 or 2245, by the way. It's large, but response is good.
The Theater four π is tuned to 30Hz, so modify the port to tune the box to 40Hz when installing a Kilomax 15. In fact, just remove the port entirely and cut a 5" diameter hole in a 3/4" to 1" baffle instead. That will put you where you want to be.