Finding the Fourth Proportional to 1,451.43, 2,002.86 and 821.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.43 : 2,002.86 = 821.97 : x
2. Step 2: Convert to fraction form
   1,451.43/2,002.86 = 821.97/x
3. Step 3: Cross multiply
   1,451.43x = 2,002.86 × 821.97
4. Step 4: Simplify right side
   1,451.43x = 1,646,290.83
5. Step 5: Solve for x
   x = 1,646,290.83/1,451.43
6. Step 6: Final answer
   x = 1,134.25