Finding the Fourth Proportional to 1,451.62, 2,002.89 and 822.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.62 : 2,002.89 = 822.16 : x
2. Step 2: Convert to fraction form
   1,451.62/2,002.89 = 822.16/x
3. Step 3: Cross multiply
   1,451.62x = 2,002.89 × 822.16
4. Step 4: Simplify right side
   1,451.62x = 1,646,696.04
5. Step 5: Solve for x
   x = 1,646,696.04/1,451.62
6. Step 6: Final answer
   x = 1,134.39