Megan wants to create a scholarship fund by saving for several years before the fund starts making annual scholarship payments forever. She plans to save $$89,200\mathrm{.}00$ per year for $5$ years. Her first savings contribution is expected in $1$ year. How much can the fund be expected to provide each year for scholarships if the fund is expected to earn $9\mathrm{.}18$ percent per year, make equal scholarship payments forever, and make its first scholarship payment in $6$ years?

$$53,697\mathrm{.}15($plus or minus $10$ dollars$)$

$$49,182\mathrm{.}22($plus or minus $10$ dollars$)$

$$37,546\mathrm{.}86($plus or minus $10$ dollars$)$

$$40,993\mathrm{.}66($plus or minus $10$ dollars$)$

none of the answers are within $10$ dollars of the correct answer