Finding the Fourth Proportional to 498.79, 748.18 and 174.16

Step by Step Solution

1. Step 1: Write the proportion equation
   498.79 : 748.18 = 174.16 : x
2. Step 2: Convert to fraction form
   498.79/748.18 = 174.16/x
3. Step 3: Cross multiply
   498.79x = 748.18 × 174.16
4. Step 4: Simplify right side
   498.79x = 130,298.42
5. Step 5: Solve for x
   x = 130,298.42/498.79
6. Step 6: Final answer
   x = 261.23