Finding the Fourth Proportional to 10,026.17, 13,833.81 and 5,992.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.17 : 13,833.81 = 5,992.24 : x
2. Step 2: Convert to fraction form
   10,026.17/13,833.81 = 5,992.24/x
3. Step 3: Cross multiply
   10,026.17x = 13,833.81 × 5,992.24
4. Step 4: Simplify right side
   10,026.17x = 82,895,509.63
5. Step 5: Solve for x
   x = 82,895,509.63/10,026.17
6. Step 6: Final answer
   x = 8,267.91