Finding the Fourth Proportional to 10,864.29, 14,992.71 and 5,896.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864.29 : 14,992.71 = 5,896.29 : x
2. Step 2: Convert to fraction form
   10,864.29/14,992.71 = 5,896.29/x
3. Step 3: Cross multiply
   10,864.29x = 14,992.71 × 5,896.29
4. Step 4: Simplify right side
   10,864.29x = 88,401,291.08
5. Step 5: Solve for x
   x = 88,401,291.08/10,864.29
6. Step 6: Final answer
   x = 8,136.87