Finding the Fourth Proportional to 10,864.75, 14,993.37 and 5,896.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864.75 : 14,993.37 = 5,896.75 : x
2. Step 2: Convert to fraction form
   10,864.75/14,993.37 = 5,896.75/x
3. Step 3: Cross multiply
   10,864.75x = 14,993.37 × 5,896.75
4. Step 4: Simplify right side
   10,864.75x = 88,412,154.55
5. Step 5: Solve for x
   x = 88,412,154.55/10,864.75
6. Step 6: Final answer
   x = 8,137.52