Finding the Fourth Proportional to 6,538.50, 9,800.89 and 3,202.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,538.50 : 9,800.89 = 3,202.15 : x
2. Step 2: Convert to fraction form
   6,538.50/9,800.89 = 3,202.15/x
3. Step 3: Cross multiply
   6,538.50x = 9,800.89 × 3,202.15
4. Step 4: Simplify right side
   6,538.50x = 31,383,887.41
5. Step 5: Solve for x
   x = 31,383,887.41/6,538.50
6. Step 6: Final answer
   x = 4,799.86