Finding the Fourth Proportional to 1,411.05, 1,947.17 and 781.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.05 : 1,947.17 = 781.57 : x
2. Step 2: Convert to fraction form
   1,411.05/1,947.17 = 781.57/x
3. Step 3: Cross multiply
   1,411.05x = 1,947.17 × 781.57
4. Step 4: Simplify right side
   1,411.05x = 1,521,843.09
5. Step 5: Solve for x
   x = 1,521,843.09/1,411.05
6. Step 6: Final answer
   x = 1,078.52