Finding the Fourth Proportional to 3,811.82, 5,716.78 and 2,586.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,811.82 : 5,716.78 = 2,586.83 : x
2. Step 2: Convert to fraction form
   3,811.82/5,716.78 = 2,586.83/x
3. Step 3: Cross multiply
   3,811.82x = 5,716.78 × 2,586.83
4. Step 4: Simplify right side
   3,811.82x = 14,788,302.96
5. Step 5: Solve for x
   x = 14,788,302.96/3,811.82
6. Step 6: Final answer
   x = 3,879.60