Finding the Fourth Proportional to 2,766.37, 3,814.66 and 2,057.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,766.37 : 3,814.66 = 2,057.07 : x
2. Step 2: Convert to fraction form
   2,766.37/3,814.66 = 2,057.07/x
3. Step 3: Cross multiply
   2,766.37x = 3,814.66 × 2,057.07
4. Step 4: Simplify right side
   2,766.37x = 7,847,022.65
5. Step 5: Solve for x
   x = 7,847,022.65/2,766.37
6. Step 6: Final answer
   x = 2,836.58