Finding the Fourth Proportional to 1,582.38, 2,182.41 and 1,022.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.38 : 2,182.41 = 1,022.58 : x
2. Step 2: Convert to fraction form
   1,582.38/2,182.41 = 1,022.58/x
3. Step 3: Cross multiply
   1,582.38x = 2,182.41 × 1,022.58
4. Step 4: Simplify right side
   1,582.38x = 2,231,688.82
5. Step 5: Solve for x
   x = 2,231,688.82/1,582.38
6. Step 6: Final answer
   x = 1,410.34