Finding the Fourth Proportional to 1,559.82, 2,337.42 and 827.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,559.82 : 2,337.42 = 827.85 : x
2. Step 2: Convert to fraction form
   1,559.82/2,337.42 = 827.85/x
3. Step 3: Cross multiply
   1,559.82x = 2,337.42 × 827.85
4. Step 4: Simplify right side
   1,559.82x = 1,935,033.15
5. Step 5: Solve for x
   x = 1,935,033.15/1,559.82
6. Step 6: Final answer
   x = 1,240.55