Finding the Fourth Proportional to 1,411.26, 1,947.50 and 781.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.26 : 1,947.50 = 781.80 : x
2. Step 2: Convert to fraction form
   1,411.26/1,947.50 = 781.80/x
3. Step 3: Cross multiply
   1,411.26x = 1,947.50 × 781.80
4. Step 4: Simplify right side
   1,411.26x = 1,522,555.50
5. Step 5: Solve for x
   x = 1,522,555.50/1,411.26
6. Step 6: Final answer
   x = 1,078.86