Finding the Fourth Proportional to 9,676.05, 13,353.21 and 5,696.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,676.05 : 13,353.21 = 5,696.43 : x
2. Step 2: Convert to fraction form
   9,676.05/13,353.21 = 5,696.43/x
3. Step 3: Cross multiply
   9,676.05x = 13,353.21 × 5,696.43
4. Step 4: Simplify right side
   9,676.05x = 76,065,626.04
5. Step 5: Solve for x
   x = 76,065,626.04/9,676.05
6. Step 6: Final answer
   x = 7,861.23