Finding the Fourth Proportional to 1,451.34, 2,002.83 and 821.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.34 : 2,002.83 = 821.88 : x
2. Step 2: Convert to fraction form
   1,451.34/2,002.83 = 821.88/x
3. Step 3: Cross multiply
   1,451.34x = 2,002.83 × 821.88
4. Step 4: Simplify right side
   1,451.34x = 1,646,085.92
5. Step 5: Solve for x
   x = 1,646,085.92/1,451.34
6. Step 6: Final answer
   x = 1,134.18