Finding the Fourth Proportional to 2,281.59, 3,421.71 and 820.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,281.59 : 3,421.71 = 820.35 : x
2. Step 2: Convert to fraction form
   2,281.59/3,421.71 = 820.35/x
3. Step 3: Cross multiply
   2,281.59x = 3,421.71 × 820.35
4. Step 4: Simplify right side
   2,281.59x = 2,806,999.80
5. Step 5: Solve for x
   x = 2,806,999.80/2,281.59
6. Step 6: Final answer
   x = 1,230.28