Finding the Fourth Proportional to 498.82, 748.25 and 165.34

Step by Step Solution

1. Step 1: Write the proportion equation
   498.82 : 748.25 = 165.34 : x
2. Step 2: Convert to fraction form
   498.82/748.25 = 165.34/x
3. Step 3: Cross multiply
   498.82x = 748.25 × 165.34
4. Step 4: Simplify right side
   498.82x = 123,711.09
5. Step 5: Solve for x
   x = 123,711.09/498.82
6. Step 6: Final answer
   x = 248.01