Finding the Fourth Proportional to 1,411.92, 1,948.32 and 782.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.92 : 1,948.32 = 782.48 : x
2. Step 2: Convert to fraction form
   1,411.92/1,948.32 = 782.48/x
3. Step 3: Cross multiply
   1,411.92x = 1,948.32 × 782.48
4. Step 4: Simplify right side
   1,411.92x = 1,524,517.52
5. Step 5: Solve for x
   x = 1,524,517.52/1,411.92
6. Step 6: Final answer
   x = 1,079.75