Yumi's grandparents presented her with a gift of $$22,000$ when she was $12$ years old to be used for her college education. Over the next $5$ years, until she turned $17,$ Yumi's parents had invested her money in a tax$-$free account that had yielded interest at the rate of $2\mathrm{.}5\%/$year compounded monthly. Upon turning $17,$ Yumi now plans to withdraw her funds in equal annual installments over the next $4$ years, starting at age $18.$ If the college fund is expected to earn interest at the rate of $3\frac{\%}{?}$ year, compounded annually, what will be the size of each installment? $($Assume no interest is accrued from the point she turns $17$ until she makes the first withdrawal. Round your answer to the nearest cent.$)$

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