Finding the Fourth Proportional to 498.72, 687.22 and 464.12

Step by Step Solution

1. Step 1: Write the proportion equation
   498.72 : 687.22 = 464.12 : x
2. Step 2: Convert to fraction form
   498.72/687.22 = 464.12/x
3. Step 3: Cross multiply
   498.72x = 687.22 × 464.12
4. Step 4: Simplify right side
   498.72x = 318,952.55
5. Step 5: Solve for x
   x = 318,952.55/498.72
6. Step 6: Final answer
   x = 639.54