Finding the Fourth Proportional to 1,411.07, 1,947.13 and 781.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.07 : 1,947.13 = 781.53 : x
2. Step 2: Convert to fraction form
   1,411.07/1,947.13 = 781.53/x
3. Step 3: Cross multiply
   1,411.07x = 1,947.13 × 781.53
4. Step 4: Simplify right side
   1,411.07x = 1,521,736.60
5. Step 5: Solve for x
   x = 1,521,736.60/1,411.07
6. Step 6: Final answer
   x = 1,078.43