Mark is planning for his daughter's education. She will be attending a college in $10$ years. The college expenses are estimated to be $$55,000$ for a $4-$year college. If he can earn $12$ percent APR with monthly compounding on a college savings plan, how much does he have to invest every month for the next $10$ years? Round it to two decimal places and do not include the $ sign, e$.$g$.,1234\mathrm{.}56.$