Finding the Fourth Proportional to 2,281.30, 3,419.89 and 820.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,281.30 : 3,419.89 = 820.10 : x
2. Step 2: Convert to fraction form
   2,281.30/3,419.89 = 820.10/x
3. Step 3: Cross multiply
   2,281.30x = 3,419.89 × 820.10
4. Step 4: Simplify right side
   2,281.30x = 2,804,658.29
5. Step 5: Solve for x
   x = 2,804,658.29/2,281.30
6. Step 6: Final answer
   x = 1,229.41