Finding the Fourth Proportional to 9,644.16, 13,309.20 and 5,452.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.16 : 13,309.20 = 5,452.32 : x
2. Step 2: Convert to fraction form
   9,644.16/13,309.20 = 5,452.32/x
3. Step 3: Cross multiply
   9,644.16x = 13,309.20 × 5,452.32
4. Step 4: Simplify right side
   9,644.16x = 72,566,017.34
5. Step 5: Solve for x
   x = 72,566,017.34/9,644.16
6. Step 6: Final answer
   x = 7,524.35