Finding the Fourth Proportional to 9,643.56, 13,308.12 and 5,664.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.56 : 13,308.12 = 5,664.72 : x
2. Step 2: Convert to fraction form
   9,643.56/13,308.12 = 5,664.72/x
3. Step 3: Cross multiply
   9,643.56x = 13,308.12 × 5,664.72
4. Step 4: Simplify right side
   9,643.56x = 75,386,773.53
5. Step 5: Solve for x
   x = 75,386,773.53/9,643.56
6. Step 6: Final answer
   x = 7,817.32