A stock had returns of $21\mathrm{.}87\%(1$ year ago$),2\mathrm{.}61\%(2$ years ago$),$ X $(3$ years ago$),$ and $-14\mathrm{.}35\%(4$ years ago$)$ in each of the past years. Over the past $4$ years, the geometric average annual return for the stock was $3\mathrm{.}65\%.$ What was the arithmetic average annual return for the stock over the past years?

$3\mathrm{.}85\%($plus or minus $4bps)$

$4\mathrm{.}47\%($plus or minus $4bps)$

$7\mathrm{.}76\%($plus or minus $4bps)$

$3\mathrm{.}45\%($plus or minus $4bps)$

None of the above is within $4bps$ of the correct answer