Finding the Fourth Proportional to 1,490.47, 2,057.17 and 827.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.47 : 2,057.17 = 827.55 : x
2. Step 2: Convert to fraction form
   1,490.47/2,057.17 = 827.55/x
3. Step 3: Cross multiply
   1,490.47x = 2,057.17 × 827.55
4. Step 4: Simplify right side
   1,490.47x = 1,702,411.03
5. Step 5: Solve for x
   x = 1,702,411.03/1,490.47
6. Step 6: Final answer
   x = 1,142.20