Finding the Fourth Proportional to 1,490.82, 2,057.33 and 827.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.82 : 2,057.33 = 827.78 : x
2. Step 2: Convert to fraction form
   1,490.82/2,057.33 = 827.78/x
3. Step 3: Cross multiply
   1,490.82x = 2,057.33 × 827.78
4. Step 4: Simplify right side
   1,490.82x = 1,703,002.20
5. Step 5: Solve for x
   x = 1,703,002.20/1,490.82
6. Step 6: Final answer
   x = 1,142.33