Finding the Fourth Proportional to 10,166.76, 14,028.86 and 5,689.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166.76 : 14,028.86 = 5,689.37 : x
2. Step 2: Convert to fraction form
   10,166.76/14,028.86 = 5,689.37/x
3. Step 3: Cross multiply
   10,166.76x = 14,028.86 × 5,689.37
4. Step 4: Simplify right side
   10,166.76x = 79,815,424.51
5. Step 5: Solve for x
   x = 79,815,424.51/10,166.76
6. Step 6: Final answer
   x = 7,850.63