Finding the Fourth Proportional to 9,596.86, 13,243.69 and 5,564.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,596.86 : 13,243.69 = 5,564.47 : x
2. Step 2: Convert to fraction form
   9,596.86/13,243.69 = 5,564.47/x
3. Step 3: Cross multiply
   9,596.86x = 13,243.69 × 5,564.47
4. Step 4: Simplify right side
   9,596.86x = 73,694,049.48
5. Step 5: Solve for x
   x = 73,694,049.48/9,596.86
6. Step 6: Final answer
   x = 7,678.98