Finding the Fourth Proportional to 2,287.98, 3,430.56 and 826.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,287.98 : 3,430.56 = 826.80 : x
2. Step 2: Convert to fraction form
   2,287.98/3,430.56 = 826.80/x
3. Step 3: Cross multiply
   2,287.98x = 3,430.56 × 826.80
4. Step 4: Simplify right side
   2,287.98x = 2,836,387.01
5. Step 5: Solve for x
   x = 2,836,387.01/2,287.98
6. Step 6: Final answer
   x = 1,239.69