Finding the Fourth Proportional to 1,411.25, 1,947.47 and 781.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.25 : 1,947.47 = 781.78 : x
2. Step 2: Convert to fraction form
   1,411.25/1,947.47 = 781.78/x
3. Step 3: Cross multiply
   1,411.25x = 1,947.47 × 781.78
4. Step 4: Simplify right side
   1,411.25x = 1,522,479.45
5. Step 5: Solve for x
   x = 1,522,479.45/1,411.25
6. Step 6: Final answer
   x = 1,078.82