Finding the Fourth Proportional to 10,165.67, 14,028.57 and 5,689.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.67 : 14,028.57 = 5,689.61 : x
2. Step 2: Convert to fraction form
   10,165.67/14,028.57 = 5,689.61/x
3. Step 3: Cross multiply
   10,165.67x = 14,028.57 × 5,689.61
4. Step 4: Simplify right side
   10,165.67x = 79,817,092.16
5. Step 5: Solve for x
   x = 79,817,092.16/10,165.67
6. Step 6: Final answer
   x = 7,851.63