Finding the Fourth Proportional to 6,441.38, 9,659.20 and 3,111.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,441.38 : 9,659.20 = 3,111.27 : x
2. Step 2: Convert to fraction form
   6,441.38/9,659.20 = 3,111.27/x
3. Step 3: Cross multiply
   6,441.38x = 9,659.20 × 3,111.27
4. Step 4: Simplify right side
   6,441.38x = 30,052,379.18
5. Step 5: Solve for x
   x = 30,052,379.18/6,441.38
6. Step 6: Final answer
   x = 4,665.52