Finding the Fourth Proportional to 6,517.21, 9,757.17 and 4,321.57

Step by Step Solution

1. Step 1: Write the proportion equation
   6,517.21 : 9,757.17 = 4,321.57 : x
2. Step 2: Convert to fraction form
   6,517.21/9,757.17 = 4,321.57/x
3. Step 3: Cross multiply
   6,517.21x = 9,757.17 × 4,321.57
4. Step 4: Simplify right side
   6,517.21x = 42,166,293.16
5. Step 5: Solve for x
   x = 42,166,293.16/6,517.21
6. Step 6: Final answer
   x = 6,469.99