Finding the Fourth Proportional to 814.18, 1,123.59 and 464.89

Step by Step Solution

1. Step 1: Write the proportion equation
   814.18 : 1,123.59 = 464.89 : x
2. Step 2: Convert to fraction form
   814.18/1,123.59 = 464.89/x
3. Step 3: Cross multiply
   814.18x = 1,123.59 × 464.89
4. Step 4: Simplify right side
   814.18x = 522,345.76
5. Step 5: Solve for x
   x = 522,345.76/814.18
6. Step 6: Final answer
   x = 641.56