Finding the Fourth Proportional to 9,648.09, 13,311.87 and 5,668.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648.09 : 13,311.87 = 5,668.42 : x
2. Step 2: Convert to fraction form
   9,648.09/13,311.87 = 5,668.42/x
3. Step 3: Cross multiply
   9,648.09x = 13,311.87 × 5,668.42
4. Step 4: Simplify right side
   9,648.09x = 75,457,270.15
5. Step 5: Solve for x
   x = 75,457,270.15/9,648.09
6. Step 6: Final answer
   x = 7,820.95