Show me the steps to solve An exponential model with quarterly data forecasting equation is

where $=1$ if it is the th quarter. What is the prediction when $,$ and it is the third quarter.

Group of answer choices

$1412\mathrm{.}538$

$1698\mathrm{.}244$

$1479\mathrm{.}108$

$1445\mathrm{.}44$