A firm needs to raise $$46\mathrm{.}2$ million to finance its expansion and has decided to sell new shares of equity via a general cash offering. The offer price is $$38\mathrm{.}00$ per share, the underwriting spread is $8\mathrm{.}05$ percent, and the associated administrative expenses and fees are $$315,000.$ How many shares need to be sold?

$857,961$

$1,331,244$

$1,101,118$

$1,313,214$

$2,503,311$