Finding the Fourth Proportional to 1,026.32, 1,416.34 and 560.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.32 : 1,416.34 = 560.56 : x
2. Step 2: Convert to fraction form
   1,026.32/1,416.34 = 560.56/x
3. Step 3: Cross multiply
   1,026.32x = 1,416.34 × 560.56
4. Step 4: Simplify right side
   1,026.32x = 793,943.55
5. Step 5: Solve for x
   x = 793,943.55/1,026.32
6. Step 6: Final answer
   x = 773.58