Finding the Fourth Proportional to 6,426.38, 9,638.76 and 2,266.22

Step by Step Solution

1. Step 1: Write the proportion equation
   6,426.38 : 9,638.76 = 2,266.22 : x
2. Step 2: Convert to fraction form
   6,426.38/9,638.76 = 2,266.22/x
3. Step 3: Cross multiply
   6,426.38x = 9,638.76 × 2,266.22
4. Step 4: Simplify right side
   6,426.38x = 21,843,550.69
5. Step 5: Solve for x
   x = 21,843,550.69/6,426.38
6. Step 6: Final answer
   x = 3,399.04