Suppose I save $$1,200$ per month for my retirement. Assuming a $6\mathrm{.}6\%$ APR $($compounded monthly$)$ how much money will I have saved after $45$ years?

Round to the nearest dollar.

Question $3$ options:

None of these

$$223,762$

$$255,292$

$$91,964$

$$304,453$

$$3,307,191$

$$3,628,587$

$$4,000,133$

$$3,063,507$

$$3,874,202$