Finding the Fourth Proportional to 6,443.20, 9,665.52 and 2,059.64

Step by Step Solution

1. Step 1: Write the proportion equation
   6,443.20 : 9,665.52 = 2,059.64 : x
2. Step 2: Convert to fraction form
   6,443.20/9,665.52 = 2,059.64/x
3. Step 3: Cross multiply
   6,443.20x = 9,665.52 × 2,059.64
4. Step 4: Simplify right side
   6,443.20x = 19,907,491.61
5. Step 5: Solve for x
   x = 19,907,491.61/6,443.20
6. Step 6: Final answer
   x = 3,089.69