Fuller Corporation uses the weighted$-$average method in its process costing system. This month, the beginning inventory in the first processing department consisted of $700$ units. The costs and percentage completion of these units in beginning inventory were:

Cost Percent Complete

Materials costs $ $12,70085\%$

Conversion costs $ $10,90030\%$

A total of $9,800$ units were started and $8,800$ units were transferred to the second processing department during the month. The following costs were incurred in the first processing department during the month:

Cost

Materials costs $ $175,600$

Conversion costs $ $420,900$

The ending inventory was $85\%$ complete with respect to materials and $70\%$ complete with respect to conversion costs.

The total cost transferred from the first processing department to the next processing department during the month is closest to: $($Round "Cost per equivalent unit" to $3$ decimal places.$)$

Multiple Choice

$$620,100$

$$542,106$

$$596,500$

$$646,832$