Finding the Fourth Proportional to 10,165.40, 14,028.33 and 5,689.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.40 : 14,028.33 = 5,689.57 : x
2. Step 2: Convert to fraction form
   10,165.40/14,028.33 = 5,689.57/x
3. Step 3: Cross multiply
   10,165.40x = 14,028.33 × 5,689.57
4. Step 4: Simplify right side
   10,165.40x = 79,815,172.39
5. Step 5: Solve for x
   x = 79,815,172.39/10,165.40
6. Step 6: Final answer
   x = 7,851.65