Finding the Fourth Proportional to 1,451.06, 2,002.52 and 821.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.06 : 2,002.52 = 821.61 : x
2. Step 2: Convert to fraction form
   1,451.06/2,002.52 = 821.61/x
3. Step 3: Cross multiply
   1,451.06x = 2,002.52 × 821.61
4. Step 4: Simplify right side
   1,451.06x = 1,645,290.46
5. Step 5: Solve for x
   x = 1,645,290.46/1,451.06
6. Step 6: Final answer
   x = 1,133.85