One of the screw holes on a junction box on my ceiling has fallen apart, leaving a hole that is too big to fix a screw into (see top of picture). As a result, I cannot hang my smoke detector from the junction box, since the detector hangs from the heads of the screws.

I was trying to see if there was something I could fill the hole with to then make a new hole for the screw. This would save me the cost and hassle of having the box replaced, which I assume would require cutting into the ceiling (the box seems to be affixed to a brace above the ceiling that runs between two joists, since all I see is the head of a bolt at the top of the box and no nail heads anywhere). Any thoughts on what I could do here?

Thanks