Finding the Fourth Proportional to 1,411.17, 1,947.37 and 781.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.17 : 1,947.37 = 781.68 : x
2. Step 2: Convert to fraction form
   1,411.17/1,947.37 = 781.68/x
3. Step 3: Cross multiply
   1,411.17x = 1,947.37 × 781.68
4. Step 4: Simplify right side
   1,411.17x = 1,522,220.18
5. Step 5: Solve for x
   x = 1,522,220.18/1,411.17
6. Step 6: Final answer
   x = 1,078.69