Mr$.$ David expects to retire in $30$ years and would like to accumulate $$1$ million in the pension fund. If the annual interest rate is $12\%$ per year, how much should Mr$.$ Williams put into the pension fund each month in order to achieve his goal? Assume that Mr$.$ Williams will deposit the same amount each month into his pension fund and use monthly compounding.

A$.$ $$286\mathrm{.}13$

B$.$ $$771\mathrm{.}60$

C$.$ $$345\mathrm{.}30$

D$.$ None of the above