Finding the Fourth Proportional to 10,165.71, 14,027.49 and 5,689.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.71 : 14,027.49 = 5,689.34 : x
2. Step 2: Convert to fraction form
   10,165.71/14,027.49 = 5,689.34/x
3. Step 3: Cross multiply
   10,165.71x = 14,027.49 × 5,689.34
4. Step 4: Simplify right side
   10,165.71x = 79,807,089.82
5. Step 5: Solve for x
   x = 79,807,089.82/10,165.71
6. Step 6: Final answer
   x = 7,850.62