You plan to send your first born child to DePaul for a $4-$year degree with $4$ annual payments. Your first payment will start in $30$ years in the amount of $$77,063\mathrm{.}24$ and grow by $8\%$ per year. Assuming a discount rate of $6\%.$ You start saving in one year from now a fixed amount for $11$ total deposits. What is the amount of that annual savings deposit in order to save enough to fund the education? Use the $ symbol and round to the nearest thousand dollars. A correct answer would look like $$38,000.$