Finding the Fourth Proportional to 9,646.17, 13,313.88 and 5,668.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,646.17 : 13,313.88 = 5,668.56 : x
2. Step 2: Convert to fraction form
   9,646.17/13,313.88 = 5,668.56/x
3. Step 3: Cross multiply
   9,646.17x = 13,313.88 × 5,668.56
4. Step 4: Simplify right side
   9,646.17x = 75,470,527.61
5. Step 5: Solve for x
   x = 75,470,527.61/9,646.17
6. Step 6: Final answer
   x = 7,823.89