Finding the Fourth Proportional to 7,146.81, 10,676.61 and 5,687.59

Step by Step Solution

1. Step 1: Write the proportion equation
   7,146.81 : 10,676.61 = 5,687.59 : x
2. Step 2: Convert to fraction form
   7,146.81/10,676.61 = 5,687.59/x
3. Step 3: Cross multiply
   7,146.81x = 10,676.61 × 5,687.59
4. Step 4: Simplify right side
   7,146.81x = 60,724,180.27
5. Step 5: Solve for x
   x = 60,724,180.27/7,146.81
6. Step 6: Final answer
   x = 8,496.68