Finding the Fourth Proportional to 10,267.56, 14,169.18 and 5,792.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,267.56 : 14,169.18 = 5,792.77 : x
2. Step 2: Convert to fraction form
   10,267.56/14,169.18 = 5,792.77/x
3. Step 3: Cross multiply
   10,267.56x = 14,169.18 × 5,792.77
4. Step 4: Simplify right side
   10,267.56x = 82,078,727.98
5. Step 5: Solve for x
   x = 82,078,727.98/10,267.56
6. Step 6: Final answer
   x = 7,993.99