Finding the Fourth Proportional to 10,864, 14,992.32 and 5,896

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864 : 14,992.32 = 5,896 : x
2. Step 2: Convert to fraction form
   10,864/14,992.32 = 5,896/x
3. Step 3: Cross multiply
   10,864x = 14,992.32 × 5,896
4. Step 4: Simplify right side
   10,864x = 88,394,718.72
5. Step 5: Solve for x
   x = 88,394,718.72/10,864
6. Step 6: Final answer
   x = 8,136.48