Finding the Fourth Proportional to 10,165.20, 14,028.15 and 5,688.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.20 : 14,028.15 = 5,688.42 : x
2. Step 2: Convert to fraction form
   10,165.20/14,028.15 = 5,688.42/x
3. Step 3: Cross multiply
   10,165.20x = 14,028.15 × 5,688.42
4. Step 4: Simplify right side
   10,165.20x = 79,798,009.02
5. Step 5: Solve for x
   x = 79,798,009.02/10,165.20
6. Step 6: Final answer
   x = 7,850.12