Finding the Fourth Proportional to 9,644.16, 13,308.30 and 5,664.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.16 : 13,308.30 = 5,664.94 : x
2. Step 2: Convert to fraction form
   9,644.16/13,308.30 = 5,664.94/x
3. Step 3: Cross multiply
   9,644.16x = 13,308.30 × 5,664.94
4. Step 4: Simplify right side
   9,644.16x = 75,390,687.73
5. Step 5: Solve for x
   x = 75,390,687.73/9,644.16
6. Step 6: Final answer
   x = 7,817.23