Finding the Fourth Proportional to 498.98, 748.69 and 174.38

Step by Step Solution

1. Step 1: Write the proportion equation
   498.98 : 748.69 = 174.38 : x
2. Step 2: Convert to fraction form
   498.98/748.69 = 174.38/x
3. Step 3: Cross multiply
   498.98x = 748.69 × 174.38
4. Step 4: Simplify right side
   498.98x = 130,552.38
5. Step 5: Solve for x
   x = 130,552.38/498.98
6. Step 6: Final answer
   x = 261.64