Finding the Fourth Proportional to 1,522.55, 2,282.85 and 827.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.55 : 2,282.85 = 827.97 : x
2. Step 2: Convert to fraction form
   1,522.55/2,282.85 = 827.97/x
3. Step 3: Cross multiply
   1,522.55x = 2,282.85 × 827.97
4. Step 4: Simplify right side
   1,522.55x = 1,890,131.31
5. Step 5: Solve for x
   x = 1,890,131.31/1,522.55
6. Step 6: Final answer
   x = 1,241.43