Finding the Fourth Proportional to 498.10, 747.17 and 238.24

Step by Step Solution

1. Step 1: Write the proportion equation
   498.10 : 747.17 = 238.24 : x
2. Step 2: Convert to fraction form
   498.10/747.17 = 238.24/x
3. Step 3: Cross multiply
   498.10x = 747.17 × 238.24
4. Step 4: Simplify right side
   498.10x = 178,007.76
5. Step 5: Solve for x
   x = 178,007.76/498.10
6. Step 6: Final answer
   x = 357.37