Finding the Fourth Proportional to 10,426.28, 14,387.67 and 5,709.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426.28 : 14,387.67 = 5,709.65 : x
2. Step 2: Convert to fraction form
   10,426.28/14,387.67 = 5,709.65/x
3. Step 3: Cross multiply
   10,426.28x = 14,387.67 × 5,709.65
4. Step 4: Simplify right side
   10,426.28x = 82,148,488.08
5. Step 5: Solve for x
   x = 82,148,488.08/10,426.28
6. Step 6: Final answer
   x = 7,878.99