Finding the Fourth Proportional to 498.78, 748.52 and 174.15

Step by Step Solution

1. Step 1: Write the proportion equation
   498.78 : 748.52 = 174.15 : x
2. Step 2: Convert to fraction form
   498.78/748.52 = 174.15/x
3. Step 3: Cross multiply
   498.78x = 748.52 × 174.15
4. Step 4: Simplify right side
   498.78x = 130,354.10
5. Step 5: Solve for x
   x = 130,354.10/498.78
6. Step 6: Final answer
   x = 261.34