Finding the Fourth Proportional to 1,411.04, 1,947.14 and 781.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.04 : 1,947.14 = 781.52 : x
2. Step 2: Convert to fraction form
   1,411.04/1,947.14 = 781.52/x
3. Step 3: Cross multiply
   1,411.04x = 1,947.14 × 781.52
4. Step 4: Simplify right side
   1,411.04x = 1,521,730.31
5. Step 5: Solve for x
   x = 1,521,730.31/1,411.04
6. Step 6: Final answer
   x = 1,078.45