Finding the Fourth Proportional to 2,287.52, 3,430.52 and 826.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,287.52 : 3,430.52 = 826.40 : x
2. Step 2: Convert to fraction form
   2,287.52/3,430.52 = 826.40/x
3. Step 3: Cross multiply
   2,287.52x = 3,430.52 × 826.40
4. Step 4: Simplify right side
   2,287.52x = 2,834,981.73
5. Step 5: Solve for x
   x = 2,834,981.73/2,287.52
6. Step 6: Final answer
   x = 1,239.33