Finding the Fourth Proportional to 1,451.31, 2,002.72 and 821.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.31 : 2,002.72 = 821.97 : x
2. Step 2: Convert to fraction form
   1,451.31/2,002.72 = 821.97/x
3. Step 3: Cross multiply
   1,451.31x = 2,002.72 × 821.97
4. Step 4: Simplify right side
   1,451.31x = 1,646,176.79
5. Step 5: Solve for x
   x = 1,646,176.79/1,451.31
6. Step 6: Final answer
   x = 1,134.27