Finding the Fourth Proportional to 1,451.16, 2,002.12 and 821.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.16 : 2,002.12 = 821.62 : x
2. Step 2: Convert to fraction form
   1,451.16/2,002.12 = 821.62/x
3. Step 3: Cross multiply
   1,451.16x = 2,002.12 × 821.62
4. Step 4: Simplify right side
   1,451.16x = 1,644,981.83
5. Step 5: Solve for x
   x = 1,644,981.83/1,451.16
6. Step 6: Final answer
   x = 1,133.56