Finding the Fourth Proportional to 498.73, 748.17 and 174.02

Step by Step Solution

1. Step 1: Write the proportion equation
   498.73 : 748.17 = 174.02 : x
2. Step 2: Convert to fraction form
   498.73/748.17 = 174.02/x
3. Step 3: Cross multiply
   498.73x = 748.17 × 174.02
4. Step 4: Simplify right side
   498.73x = 130,199.85
5. Step 5: Solve for x
   x = 130,199.85/498.73
6. Step 6: Final answer
   x = 261.06