Finding the Fourth Proportional to 9,644.22, 13,304.61 and 5,665.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.22 : 13,304.61 = 5,665.26 : x
2. Step 2: Convert to fraction form
   9,644.22/13,304.61 = 5,665.26/x
3. Step 3: Cross multiply
   9,644.22x = 13,304.61 × 5,665.26
4. Step 4: Simplify right side
   9,644.22x = 75,374,074.85
5. Step 5: Solve for x
   x = 75,374,074.85/9,644.22
6. Step 6: Final answer
   x = 7,815.47