Finding the Fourth Proportional to 10,864.41, 14,992.89 and 5,896.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864.41 : 14,992.89 = 5,896.41 : x
2. Step 2: Convert to fraction form
   10,864.41/14,992.89 = 5,896.41/x
3. Step 3: Cross multiply
   10,864.41x = 14,992.89 × 5,896.41
4. Step 4: Simplify right side
   10,864.41x = 88,404,122.08
5. Step 5: Solve for x
   x = 88,404,122.08/10,864.41
6. Step 6: Final answer
   x = 8,137.04