Finding the Fourth Proportional to 498.46, 747.69 and 209.86

Step by Step Solution

1. Step 1: Write the proportion equation
   498.46 : 747.69 = 209.86 : x
2. Step 2: Convert to fraction form
   498.46/747.69 = 209.86/x
3. Step 3: Cross multiply
   498.46x = 747.69 × 209.86
4. Step 4: Simplify right side
   498.46x = 156,910.22
5. Step 5: Solve for x
   x = 156,910.22/498.46
6. Step 6: Final answer
   x = 314.79