Finding the Fourth Proportional to 9,668.89, 13,343.92 and 5,635.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,668.89 : 13,343.92 = 5,635.49 : x
2. Step 2: Convert to fraction form
   9,668.89/13,343.92 = 5,635.49/x
3. Step 3: Cross multiply
   9,668.89x = 13,343.92 × 5,635.49
4. Step 4: Simplify right side
   9,668.89x = 75,199,527.72
5. Step 5: Solve for x
   x = 75,199,527.72/9,668.89
6. Step 6: Final answer
   x = 7,777.48