In reply to Jon Read:
Should be a way to facilitate that. You just need to know the pitch and the diameter. If there is an industrial estate near you, with a "fasteners" company, take the knob in and they will probably have a matching bolt or something, longer, that you can just cut to length and screw in. Then worry about tidying up the ergonomics of it.
Or even just try dabbing a few blobs of solder onto the end of the existing screw, not sure how lasting a solution that might be though.
Probably all sorts of other solutions too.