Finding the Fourth Proportional to 1,026.31, 1,416.32 and 560.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.31 : 1,416.32 = 560.56 : x
2. Step 2: Convert to fraction form
   1,026.31/1,416.32 = 560.56/x
3. Step 3: Cross multiply
   1,026.31x = 1,416.32 × 560.56
4. Step 4: Simplify right side
   1,026.31x = 793,932.34
5. Step 5: Solve for x
   x = 793,932.34/1,026.31
6. Step 6: Final answer
   x = 773.58