I would suggest that you position the speakers at the front edge of the dresser as suggested by Shadorne and then I would place a small ball of Blu-Tak or Elmer's Tak 'N Stick (much cheaper and more readily available than Blu-Tak)under each corner of the speaker, then push down on the speaker to smash the ball. I don't know if the purpose of the Blu-Tak is decoupling or coupling, but it will prevent the speakers from moving/falling and it has been recommended in audiophile circles for many years.
Enjoy,
TIC
Enjoy,
TIC