Finding the Fourth Proportional to 10,169.20, 14,034.32 and 5,693.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,169.20 : 14,034.32 = 5,693.12 : x
2. Step 2: Convert to fraction form
   10,169.20/14,034.32 = 5,693.12/x
3. Step 3: Cross multiply
   10,169.20x = 14,034.32 × 5,693.12
4. Step 4: Simplify right side
   10,169.20x = 79,899,067.88
5. Step 5: Solve for x
   x = 79,899,067.88/10,169.20
6. Step 6: Final answer
   x = 7,856.97