Finding the Fourth Proportional to 498.89, 748.33 and 174.25

Step by Step Solution

1. Step 1: Write the proportion equation
   498.89 : 748.33 = 174.25 : x
2. Step 2: Convert to fraction form
   498.89/748.33 = 174.25/x
3. Step 3: Cross multiply
   498.89x = 748.33 × 174.25
4. Step 4: Simplify right side
   498.89x = 130,398.90
5. Step 5: Solve for x
   x = 130,398.90/498.89
6. Step 6: Final answer
   x = 261.38