Finding the Fourth Proportional to 1,411.92, 1,948.30 and 782.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.92 : 1,948.30 = 782.35 : x
2. Step 2: Convert to fraction form
   1,411.92/1,948.30 = 782.35/x
3. Step 3: Cross multiply
   1,411.92x = 1,948.30 × 782.35
4. Step 4: Simplify right side
   1,411.92x = 1,524,252.51
5. Step 5: Solve for x
   x = 1,524,252.51/1,411.92
6. Step 6: Final answer
   x = 1,079.56