Finding the Fourth Proportional to 498.86, 748.50 and 267.68

Step by Step Solution

1. Step 1: Write the proportion equation
   498.86 : 748.50 = 267.68 : x
2. Step 2: Convert to fraction form
   498.86/748.50 = 267.68/x
3. Step 3: Cross multiply
   498.86x = 748.50 × 267.68
4. Step 4: Simplify right side
   498.86x = 200,358.48
5. Step 5: Solve for x
   x = 200,358.48/498.86
6. Step 6: Final answer
   x = 401.63