Finding the Fourth Proportional to 498.99, 748.56 and 174.27

Step by Step Solution

1. Step 1: Write the proportion equation
   498.99 : 748.56 = 174.27 : x
2. Step 2: Convert to fraction form
   498.99/748.56 = 174.27/x
3. Step 3: Cross multiply
   498.99x = 748.56 × 174.27
4. Step 4: Simplify right side
   498.99x = 130,451.55
5. Step 5: Solve for x
   x = 130,451.55/498.99
6. Step 6: Final answer
   x = 261.43