Finding the Fourth Proportional to 2,301.57, 3,451.16 and 820.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,301.57 : 3,451.16 = 820.22 : x
2. Step 2: Convert to fraction form
   2,301.57/3,451.16 = 820.22/x
3. Step 3: Cross multiply
   2,301.57x = 3,451.16 × 820.22
4. Step 4: Simplify right side
   2,301.57x = 2,830,689.10
5. Step 5: Solve for x
   x = 2,830,689.10/2,301.57
6. Step 6: Final answer
   x = 1,229.89