Finding the Fourth Proportional to 1,411.14, 1,947.24 and 781.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.14 : 1,947.24 = 781.65 : x
2. Step 2: Convert to fraction form
   1,411.14/1,947.24 = 781.65/x
3. Step 3: Cross multiply
   1,411.14x = 1,947.24 × 781.65
4. Step 4: Simplify right side
   1,411.14x = 1,522,060.15
5. Step 5: Solve for x
   x = 1,522,060.15/1,411.14
6. Step 6: Final answer
   x = 1,078.60