Finding the Fourth Proportional to 10,166.10, 14,028.39 and 5,689.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166.10 : 14,028.39 = 5,689.68 : x
2. Step 2: Convert to fraction form
   10,166.10/14,028.39 = 5,689.68/x
3. Step 3: Cross multiply
   10,166.10x = 14,028.39 × 5,689.68
4. Step 4: Simplify right side
   10,166.10x = 79,817,050.02
5. Step 5: Solve for x
   x = 79,817,050.02/10,166.10
6. Step 6: Final answer
   x = 7,851.29