Finding the Fourth Proportional to 1,608.15, 2,410.43 and 827.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.15 : 2,410.43 = 827.85 : x
2. Step 2: Convert to fraction form
   1,608.15/2,410.43 = 827.85/x
3. Step 3: Cross multiply
   1,608.15x = 2,410.43 × 827.85
4. Step 4: Simplify right side
   1,608.15x = 1,995,470.34
5. Step 5: Solve for x
   x = 1,995,470.34/1,608.15
6. Step 6: Final answer
   x = 1,240.85