Finding the Fourth Proportional to 10,426.30, 14,387.75 and 5,709.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426.30 : 14,387.75 = 5,709.67 : x
2. Step 2: Convert to fraction form
   10,426.30/14,387.75 = 5,709.67/x
3. Step 3: Cross multiply
   10,426.30x = 14,387.75 × 5,709.67
4. Step 4: Simplify right side
   10,426.30x = 82,149,304.54
5. Step 5: Solve for x
   x = 82,149,304.54/10,426.30
6. Step 6: Final answer
   x = 7,879.05