Finding the Fourth Proportional to 10,864.56, 14,993.16 and 5,896.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864.56 : 14,993.16 = 5,896.56 : x
2. Step 2: Convert to fraction form
   10,864.56/14,993.16 = 5,896.56/x
3. Step 3: Cross multiply
   10,864.56x = 14,993.16 × 5,896.56
4. Step 4: Simplify right side
   10,864.56x = 88,408,067.53
5. Step 5: Solve for x
   x = 88,408,067.53/10,864.56
6. Step 6: Final answer
   x = 8,137.29