Finding the Fourth Proportional to 1,582.61, 2,183.56 and 1,023.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.61 : 2,183.56 = 1,023.10 : x
2. Step 2: Convert to fraction form
   1,582.61/2,183.56 = 1,023.10/x
3. Step 3: Cross multiply
   1,582.61x = 2,183.56 × 1,023.10
4. Step 4: Simplify right side
   1,582.61x = 2,233,992.22
5. Step 5: Solve for x
   x = 2,233,992.22/1,582.61
6. Step 6: Final answer
   x = 1,411.59