Finding the Fourth Proportional to 1,608.90, 2,411.52 and 827.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.90 : 2,411.52 = 827.70 : x
2. Step 2: Convert to fraction form
   1,608.90/2,411.52 = 827.70/x
3. Step 3: Cross multiply
   1,608.90x = 2,411.52 × 827.70
4. Step 4: Simplify right side
   1,608.90x = 1,996,015.10
5. Step 5: Solve for x
   x = 1,996,015.10/1,608.90
6. Step 6: Final answer
   x = 1,240.61