Finding the Fourth Proportional to 814.72, 1,123.37 and 566.25

Step by Step Solution

1. Step 1: Write the proportion equation
   814.72 : 1,123.37 = 566.25 : x
2. Step 2: Convert to fraction form
   814.72/1,123.37 = 566.25/x
3. Step 3: Cross multiply
   814.72x = 1,123.37 × 566.25
4. Step 4: Simplify right side
   814.72x = 636,105.43
5. Step 5: Solve for x
   x = 636,105.43/814.72
6. Step 6: Final answer
   x = 780.77