Derek can deposit $$10,690\mathrm{.}00$ on each birthday beginning with his $26\mathrm{.}00$ th and ending with his $66\mathrm{.}00$ th$.$ What will the rate on the retirement account need to be for him to have $$3,892,131\mathrm{.}00$ in it when he retires?

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Answer format: Percentage Round to: $2$ decimal places $($Example: $9\mathrm{.}24\%,\%$ sign required. Will accept decimal format rounded to $4$ decimal places $($ex: $0\mathrm{.}0924))$