Finding the Fourth Proportional to 1,411.08, 1,947.35 and 781.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.08 : 1,947.35 = 781.71 : x
2. Step 2: Convert to fraction form
   1,411.08/1,947.35 = 781.71/x
3. Step 3: Cross multiply
   1,411.08x = 1,947.35 × 781.71
4. Step 4: Simplify right side
   1,411.08x = 1,522,262.97
5. Step 5: Solve for x
   x = 1,522,262.97/1,411.08
6. Step 6: Final answer
   x = 1,078.79