Finding the Fourth Proportional to 6,508.50, 9,752.89 and 4,309.35

Step by Step Solution

1. Step 1: Write the proportion equation
   6,508.50 : 9,752.89 = 4,309.35 : x
2. Step 2: Convert to fraction form
   6,508.50/9,752.89 = 4,309.35/x
3. Step 3: Cross multiply
   6,508.50x = 9,752.89 × 4,309.35
4. Step 4: Simplify right side
   6,508.50x = 42,028,616.52
5. Step 5: Solve for x
   x = 42,028,616.52/6,508.50
6. Step 6: Final answer
   x = 6,457.50