Finding the Fourth Proportional to 498.69, 748.16 and 174.06

Step by Step Solution

1. Step 1: Write the proportion equation
   498.69 : 748.16 = 174.06 : x
2. Step 2: Convert to fraction form
   498.69/748.16 = 174.06/x
3. Step 3: Cross multiply
   498.69x = 748.16 × 174.06
4. Step 4: Simplify right side
   498.69x = 130,223.86
5. Step 5: Solve for x
   x = 130,223.86/498.69
6. Step 6: Final answer
   x = 261.13