$($Related to Checkpoint $5\mathrm{.}6)($Solving for $i)$ At what annual interest rate, compounded annually, would $$500$ have to be invested for it to grow to $$1,944\mathrm{.}26$ in $12$ years?

The annual interest rate, compounded annually, at which $$500$ must be invested for it to grow to $$1,944\mathrm{.}26$ in $12$ years is

$\%.($Round to two decimal places.$)$