Cleaning & polishing premium-grade speakers

Elizabeth & S7horton - thanks for the response. So, I am doing something right after all! The finish looks very shiny and has a clear coating so I am assuming that it has been applied with several layers of varnish. Just to be on the safe side I will contact the manufacturer.

Off I go to Home Depot and find myself some Weimans then. If not, then my kid's pj will do. What do you guys think about sirspeedy's suggestion? I am no wood expert so all your feedback is appreciated...