Finding the Fourth Proportional to 10,864.52, 14,993 and 5,896.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864.52 : 14,993 = 5,896.52 : x
2. Step 2: Convert to fraction form
   10,864.52/14,993 = 5,896.52/x
3. Step 3: Cross multiply
   10,864.52x = 14,993 × 5,896.52
4. Step 4: Simplify right side
   10,864.52x = 88,406,524.36
5. Step 5: Solve for x
   x = 88,406,524.36/10,864.52
6. Step 6: Final answer
   x = 8,137.18