Jose just turned $35$ and wants to make contributions to his retirement account each year so that when he retires he will have $$5,000,000$ accumulated. Jose wants to retire at age $70,$ has already accumulated $$146,000$ in his retirement account, and earns a steady $9\mathrm{.}2\%$ on all invested funds. How much must he contribute monthly in order to have $$5,000,000$ by the time he retires at age $70?($Round to the nearest dollar$)$

A$.$ $$2,905$

B$.$ $$990$

C$.$ $$450$

D$.$ $$1,980$