Pedro has a tax$-$free savings account $($TFSA$)$ with a balance of $$4750\mathrm{.}00.$ Interest is earned at a rate of $3\mathrm{.}7\%,$ compounded quarterly.

If Pedro contributes $$400\mathrm{.}00$ to the TFSA at the end of every month, how long will it take him to save $$22000\mathrm{.}00?$