Finding the Fourth Proportional to 9,666.78, 13,341.96 and 5,687.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.78 : 13,341.96 = 5,687.70 : x
2. Step 2: Convert to fraction form
   9,666.78/13,341.96 = 5,687.70/x
3. Step 3: Cross multiply
   9,666.78x = 13,341.96 × 5,687.70
4. Step 4: Simplify right side
   9,666.78x = 75,885,065.89
5. Step 5: Solve for x
   x = 75,885,065.89/9,666.78
6. Step 6: Final answer
   x = 7,850.09