Finding the Fourth Proportional to 1,490.82, 2,057.46 and 827.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.82 : 2,057.46 = 827.79 : x
2. Step 2: Convert to fraction form
   1,490.82/2,057.46 = 827.79/x
3. Step 3: Cross multiply
   1,490.82x = 2,057.46 × 827.79
4. Step 4: Simplify right side
   1,490.82x = 1,703,144.81
5. Step 5: Solve for x
   x = 1,703,144.81/1,490.82
6. Step 6: Final answer
   x = 1,142.42