Finding the Fourth Proportional to 498.72, 748.17 and 174.27

Step by Step Solution

1. Step 1: Write the proportion equation
   498.72 : 748.17 = 174.27 : x
2. Step 2: Convert to fraction form
   498.72/748.17 = 174.27/x
3. Step 3: Cross multiply
   498.72x = 748.17 × 174.27
4. Step 4: Simplify right side
   498.72x = 130,383.59
5. Step 5: Solve for x
   x = 130,383.59/498.72
6. Step 6: Final answer
   x = 261.44