Finding the Fourth Proportional to 1,411.17, 1,947.46 and 781.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.17 : 1,947.46 = 781.73 : x
2. Step 2: Convert to fraction form
   1,411.17/1,947.46 = 781.73/x
3. Step 3: Cross multiply
   1,411.17x = 1,947.46 × 781.73
4. Step 4: Simplify right side
   1,411.17x = 1,522,387.91
5. Step 5: Solve for x
   x = 1,522,387.91/1,411.17
6. Step 6: Final answer
   x = 1,078.82