Finding the Fourth Proportional to 1,290.97, 1,782.72 and 826.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,290.97 : 1,782.72 = 826.03 : x
2. Step 2: Convert to fraction form
   1,290.97/1,782.72 = 826.03/x
3. Step 3: Cross multiply
   1,290.97x = 1,782.72 × 826.03
4. Step 4: Simplify right side
   1,290.97x = 1,472,580.20
5. Step 5: Solve for x
   x = 1,472,580.20/1,290.97
6. Step 6: Final answer
   x = 1,140.68