Finding the Fourth Proportional to 2,282.18, 3,422.25 and 821.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,282.18 : 3,422.25 = 821.34 : x
2. Step 2: Convert to fraction form
   2,282.18/3,422.25 = 821.34/x
3. Step 3: Cross multiply
   2,282.18x = 3,422.25 × 821.34
4. Step 4: Simplify right side
   2,282.18x = 2,810,830.82
5. Step 5: Solve for x
   x = 2,810,830.82/2,282.18
6. Step 6: Final answer
   x = 1,231.65