Finding the Fourth Proportional to 1,582.05, 2,183.76 and 1,086.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.05 : 2,183.76 = 1,086.12 : x
2. Step 2: Convert to fraction form
   1,582.05/2,183.76 = 1,086.12/x
3. Step 3: Cross multiply
   1,582.05x = 2,183.76 × 1,086.12
4. Step 4: Simplify right side
   1,582.05x = 2,371,825.41
5. Step 5: Solve for x
   x = 2,371,825.41/1,582.05
6. Step 6: Final answer
   x = 1,499.21