Finding the Fourth Proportional to 10,166, 14,028.08 and 5,689.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166 : 14,028.08 = 5,689.52 : x
2. Step 2: Convert to fraction form
   10,166/14,028.08 = 5,689.52/x
3. Step 3: Cross multiply
   10,166x = 14,028.08 × 5,689.52
4. Step 4: Simplify right side
   10,166x = 79,813,041.72
5. Step 5: Solve for x
   x = 79,813,041.72/10,166
6. Step 6: Final answer
   x = 7,850.98