Finding the Fourth Proportional to 10,165.80, 14,028.30 and 5,689.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.80 : 14,028.30 = 5,689.56 : x
2. Step 2: Convert to fraction form
   10,165.80/14,028.30 = 5,689.56/x
3. Step 3: Cross multiply
   10,165.80x = 14,028.30 × 5,689.56
4. Step 4: Simplify right side
   10,165.80x = 79,814,854.55
5. Step 5: Solve for x
   x = 79,814,854.55/10,165.80
6. Step 6: Final answer
   x = 7,851.31