  We present predictions for the frequencies of collective modes of trapped
Bose-condensed $^{87}$Rb atoms at finite temperature. Our treatment includes a
self-consistent treatment of the mean-field from finite-$T$ excitations and the
anomolous average. This is the first gapless calculation of this type for a
trapped Bose-Einstein condensed gas. The corrections quantitatively account for
the downward shift in the $m=2$ excitation frequencies observed in recent
experiments as the critical temperature is approached.
