Finding the Fourth Proportional to 2,582.86, 3,874.98 and 1,843.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.86 : 3,874.98 = 1,843.40 : x
2. Step 2: Convert to fraction form
   2,582.86/3,874.98 = 1,843.40/x
3. Step 3: Cross multiply
   2,582.86x = 3,874.98 × 1,843.40
4. Step 4: Simplify right side
   2,582.86x = 7,143,118.76
5. Step 5: Solve for x
   x = 7,143,118.76/2,582.86
6. Step 6: Final answer
   x = 2,765.59