Finding the Fourth Proportional to 1,026.53, 1,416.59 and 560.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.53 : 1,416.59 = 560.78 : x
2. Step 2: Convert to fraction form
   1,026.53/1,416.59 = 560.78/x
3. Step 3: Cross multiply
   1,026.53x = 1,416.59 × 560.78
4. Step 4: Simplify right side
   1,026.53x = 794,385.45
5. Step 5: Solve for x
   x = 794,385.45/1,026.53
6. Step 6: Final answer
   x = 773.86