Finding the Fourth Proportional to 10,269.78, 14,171.49 and 5,794.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,269.78 : 14,171.49 = 5,794.62 : x
2. Step 2: Convert to fraction form
   10,269.78/14,171.49 = 5,794.62/x
3. Step 3: Cross multiply
   10,269.78x = 14,171.49 × 5,794.62
4. Step 4: Simplify right side
   10,269.78x = 82,118,399.38
5. Step 5: Solve for x
   x = 82,118,399.38/10,269.78
6. Step 6: Final answer
   x = 7,996.12