Finding the Fourth Proportional to 9,644.86, 13,304.37 and 5,665.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.86 : 13,304.37 = 5,665.24 : x
2. Step 2: Convert to fraction form
   9,644.86/13,304.37 = 5,665.24/x
3. Step 3: Cross multiply
   9,644.86x = 13,304.37 × 5,665.24
4. Step 4: Simplify right side
   9,644.86x = 75,372,449.10
5. Step 5: Solve for x
   x = 75,372,449.10/9,644.86
6. Step 6: Final answer
   x = 7,814.78