Finding the Fourth Proportional to 498.91, 748.46 and 169.82

Step by Step Solution

1. Step 1: Write the proportion equation
   498.91 : 748.46 = 169.82 : x
2. Step 2: Convert to fraction form
   498.91/748.46 = 169.82/x
3. Step 3: Cross multiply
   498.91x = 748.46 × 169.82
4. Step 4: Simplify right side
   498.91x = 127,098.89
5. Step 5: Solve for x
   x = 127,098.89/498.91
6. Step 6: Final answer
   x = 254.75