Finding the Fourth Proportional to 2,287.38, 3,429.01 and 826.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,287.38 : 3,429.01 = 826.20 : x
2. Step 2: Convert to fraction form
   2,287.38/3,429.01 = 826.20/x
3. Step 3: Cross multiply
   2,287.38x = 3,429.01 × 826.20
4. Step 4: Simplify right side
   2,287.38x = 2,833,048.06
5. Step 5: Solve for x
   x = 2,833,048.06/2,287.38
6. Step 6: Final answer
   x = 1,238.56