Finding the Fourth Proportional to 10,427.24, 14,389.65 and 5,711.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,427.24 : 14,389.65 = 5,711.96 : x
2. Step 2: Convert to fraction form
   10,427.24/14,389.65 = 5,711.96/x
3. Step 3: Cross multiply
   10,427.24x = 14,389.65 × 5,711.96
4. Step 4: Simplify right side
   10,427.24x = 82,193,033.27
5. Step 5: Solve for x
   x = 82,193,033.27/10,427.24
6. Step 6: Final answer
   x = 7,882.53