Finding the Fourth Proportional to 498.69, 748.34 and 267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   498.69 : 748.34 = 267.50 : x
2. Step 2: Convert to fraction form
   498.69/748.34 = 267.50/x
3. Step 3: Cross multiply
   498.69x = 748.34 × 267.50
4. Step 4: Simplify right side
   498.69x = 200,182.49
5. Step 5: Solve for x
   x = 200,182.49/498.69
6. Step 6: Final answer
   x = 401.42