Finding the Fourth Proportional to 1,451.06, 2,002.56 and 821.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.06 : 2,002.56 = 821.35 : x
2. Step 2: Convert to fraction form
   1,451.06/2,002.56 = 821.35/x
3. Step 3: Cross multiply
   1,451.06x = 2,002.56 × 821.35
4. Step 4: Simplify right side
   1,451.06x = 1,644,802.66
5. Step 5: Solve for x
   x = 1,644,802.66/1,451.06
6. Step 6: Final answer
   x = 1,133.52