Finding the Fourth Proportional to 1,411.31, 1,947.54 and 781.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.31 : 1,947.54 = 781.83 : x
2. Step 2: Convert to fraction form
   1,411.31/1,947.54 = 781.83/x
3. Step 3: Cross multiply
   1,411.31x = 1,947.54 × 781.83
4. Step 4: Simplify right side
   1,411.31x = 1,522,645.20
5. Step 5: Solve for x
   x = 1,522,645.20/1,411.31
6. Step 6: Final answer
   x = 1,078.89