Finding the Fourth Proportional to 6,442.72, 9,662.64 and 3,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,442.72 : 9,662.64 = 3,152.50 : x
2. Step 2: Convert to fraction form
   6,442.72/9,662.64 = 3,152.50/x
3. Step 3: Cross multiply
   6,442.72x = 9,662.64 × 3,152.50
4. Step 4: Simplify right side
   6,442.72x = 30,461,472.60
5. Step 5: Solve for x
   x = 30,461,472.60/6,442.72
6. Step 6: Final answer
   x = 4,728.05