Finding the Fourth Proportional to 2,285.82, 3,425.94 and 824.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,285.82 : 3,425.94 = 824.22 : x
2. Step 2: Convert to fraction form
   2,285.82/3,425.94 = 824.22/x
3. Step 3: Cross multiply
   2,285.82x = 3,425.94 × 824.22
4. Step 4: Simplify right side
   2,285.82x = 2,823,728.27
5. Step 5: Solve for x
   x = 2,823,728.27/2,285.82
6. Step 6: Final answer
   x = 1,235.32