Finding the Fourth Proportional to 2,816.76, 4,199.77 and 2,582.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,816.76 : 4,199.77 = 2,582.57 : x
2. Step 2: Convert to fraction form
   2,816.76/4,199.77 = 2,582.57/x
3. Step 3: Cross multiply
   2,816.76x = 4,199.77 × 2,582.57
4. Step 4: Simplify right side
   2,816.76x = 10,846,200.01
5. Step 5: Solve for x
   x = 10,846,200.01/2,816.76
6. Step 6: Final answer
   x = 3,850.59