Finding the Fourth Proportional to 6,441.20, 9,664.90 and 3,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,441.20 : 9,664.90 = 3,152.50 : x
2. Step 2: Convert to fraction form
   6,441.20/9,664.90 = 3,152.50/x
3. Step 3: Cross multiply
   6,441.20x = 9,664.90 × 3,152.50
4. Step 4: Simplify right side
   6,441.20x = 30,468,597.25
5. Step 5: Solve for x
   x = 30,468,597.25/6,441.20
6. Step 6: Final answer
   x = 4,730.27