Finding the Fourth Proportional to 2,281.47, 3,419.76 and 820.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,281.47 : 3,419.76 = 820.20 : x
2. Step 2: Convert to fraction form
   2,281.47/3,419.76 = 820.20/x
3. Step 3: Cross multiply
   2,281.47x = 3,419.76 × 820.20
4. Step 4: Simplify right side
   2,281.47x = 2,804,887.15
5. Step 5: Solve for x
   x = 2,804,887.15/2,281.47
6. Step 6: Final answer
   x = 1,229.42