Finding the Fourth Proportional to 1,411.24, 1,947.49 and 781.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.24 : 1,947.49 = 781.81 : x
2. Step 2: Convert to fraction form
   1,411.24/1,947.49 = 781.81/x
3. Step 3: Cross multiply
   1,411.24x = 1,947.49 × 781.81
4. Step 4: Simplify right side
   1,411.24x = 1,522,567.16
5. Step 5: Solve for x
   x = 1,522,567.16/1,411.24
6. Step 6: Final answer
   x = 1,078.89