Finding the Fourth Proportional to 9,644.38, 13,309.33 and 5,665.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.38 : 13,309.33 = 5,665.55 : x
2. Step 2: Convert to fraction form
   9,644.38/13,309.33 = 5,665.55/x
3. Step 3: Cross multiply
   9,644.38x = 13,309.33 × 5,665.55
4. Step 4: Simplify right side
   9,644.38x = 75,404,693.69
5. Step 5: Solve for x
   x = 75,404,693.69/9,644.38
6. Step 6: Final answer
   x = 7,818.51