Finding the Fourth Proportional to 10,142.78, 13,997.76 and 5,895.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.78 : 13,997.76 = 5,895.20 : x
2. Step 2: Convert to fraction form
   10,142.78/13,997.76 = 5,895.20/x
3. Step 3: Cross multiply
   10,142.78x = 13,997.76 × 5,895.20
4. Step 4: Simplify right side
   10,142.78x = 82,519,594.75
5. Step 5: Solve for x
   x = 82,519,594.75/10,142.78
6. Step 6: Final answer
   x = 8,135.80