Finding the Fourth Proportional to 498.86, 748.64 and 174.25

Step by Step Solution

1. Step 1: Write the proportion equation
   498.86 : 748.64 = 174.25 : x
2. Step 2: Convert to fraction form
   498.86/748.64 = 174.25/x
3. Step 3: Cross multiply
   498.86x = 748.64 × 174.25
4. Step 4: Simplify right side
   498.86x = 130,451.89
5. Step 5: Solve for x
   x = 130,451.89/498.86
6. Step 6: Final answer
   x = 261.50