#### Answer

State A is apportioned 54 seats.
State B is apportioned 84 seats.
State C is apportioned 114 seats.
State D is apportioned 148 seats.

#### Work Step by Step

We can use the modified divisor $d = 7.82$ to find the modified quota of each state.
State A:
$modified~quota = \frac{population}{d}$
$modified~quota = \frac{424}{7.82}$
$modified~quota = 54.22$
State B:
$modified~quota = \frac{population}{d}$
$modified~quota = \frac{664}{7.82}$
$modified~quota = 84.91$
State C:
$modified~quota = \frac{population}{d}$
$modified~quota = \frac{892}{7.82}$
$modified~quota = 114.07$
State D:
$modified~quota = \frac{population}{d}$
$modified~quota = \frac{1162}{7.82}$
$modified~quota = 148.59$
To find each state's apportioned seats using Jefferson's method, we round the modified quota down to the nearest whole number.
State A is apportioned 54 seats.
State B is apportioned 84 seats.
State C is apportioned 114 seats.
State D is apportioned 148 seats.