Finding the Fourth Proportional to 10,249.94, 14,142.48 and 5,772.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,249.94 : 14,142.48 = 5,772.80 : x
2. Step 2: Convert to fraction form
   10,249.94/14,142.48 = 5,772.80/x
3. Step 3: Cross multiply
   10,249.94x = 14,142.48 × 5,772.80
4. Step 4: Simplify right side
   10,249.94x = 81,641,708.54
5. Step 5: Solve for x
   x = 81,641,708.54/10,249.94
6. Step 6: Final answer
   x = 7,965.09