Finding the Fourth Proportional to 9,644.61, 13,304.03 and 5,664.99

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.61 : 13,304.03 = 5,664.99 : x
2. Step 2: Convert to fraction form
   9,644.61/13,304.03 = 5,664.99/x
3. Step 3: Cross multiply
   9,644.61x = 13,304.03 × 5,664.99
4. Step 4: Simplify right side
   9,644.61x = 75,367,168.58
5. Step 5: Solve for x
   x = 75,367,168.58/9,644.61
6. Step 6: Final answer
   x = 7,814.43