Finding the Fourth Proportional to 2,081.23, 2,870.78 and 1,582.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.23 : 2,870.78 = 1,582.78 : x
2. Step 2: Convert to fraction form
   2,081.23/2,870.78 = 1,582.78/x
3. Step 3: Cross multiply
   2,081.23x = 2,870.78 × 1,582.78
4. Step 4: Simplify right side
   2,081.23x = 4,543,812.36
5. Step 5: Solve for x
   x = 4,543,812.36/2,081.23
6. Step 6: Final answer
   x = 2,183.23