Finding the Fourth Proportional to 10,269.56, 14,171.94 and 5,794.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,269.56 : 14,171.94 = 5,794.77 : x
2. Step 2: Convert to fraction form
   10,269.56/14,171.94 = 5,794.77/x
3. Step 3: Cross multiply
   10,269.56x = 14,171.94 × 5,794.77
4. Step 4: Simplify right side
   10,269.56x = 82,123,132.75
5. Step 5: Solve for x
   x = 82,123,132.75/10,269.56
6. Step 6: Final answer
   x = 7,996.75