Finding the Fourth Proportional to 6,443.72, 9,664.14 and 3,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,443.72 : 9,664.14 = 3,153.50 : x
2. Step 2: Convert to fraction form
   6,443.72/9,664.14 = 3,153.50/x
3. Step 3: Cross multiply
   6,443.72x = 9,664.14 × 3,153.50
4. Step 4: Simplify right side
   6,443.72x = 30,475,865.49
5. Step 5: Solve for x
   x = 30,475,865.49/6,443.72
6. Step 6: Final answer
   x = 4,729.55