Finding the Fourth Proportional to 1,490.89, 2,057.39 and 827.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.89 : 2,057.39 = 827.72 : x
2. Step 2: Convert to fraction form
   1,490.89/2,057.39 = 827.72/x
3. Step 3: Cross multiply
   1,490.89x = 2,057.39 × 827.72
4. Step 4: Simplify right side
   1,490.89x = 1,702,938.71
5. Step 5: Solve for x
   x = 1,702,938.71/1,490.89
6. Step 6: Final answer
   x = 1,142.23