Elizabeth wants to create a scholarship fund by saving for several years before the fund starts making annual scholarship payments forever. She plans to save $$89,100\mathrm{.}00$ per year for $6$ 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 $9\mathrm{.}62$ percent per year, make equal scholarship payments forever, and make its first scholarship payment in $7$ years?