Finding the Fourth Proportional to 1,581.78, 2,182.42 and 1,022.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.78 : 2,182.42 = 1,022.28 : x
2. Step 2: Convert to fraction form
   1,581.78/2,182.42 = 1,022.28/x
3. Step 3: Cross multiply
   1,581.78x = 2,182.42 × 1,022.28
4. Step 4: Simplify right side
   1,581.78x = 2,231,044.32
5. Step 5: Solve for x
   x = 2,231,044.32/1,581.78
6. Step 6: Final answer
   x = 1,410.46