Finding the Fourth Proportional to 3,855.61, 5,766.71 and 2,270.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,855.61 : 5,766.71 = 2,270.56 : x
2. Step 2: Convert to fraction form
   3,855.61/5,766.71 = 2,270.56/x
3. Step 3: Cross multiply
   3,855.61x = 5,766.71 × 2,270.56
4. Step 4: Simplify right side
   3,855.61x = 13,093,633.07
5. Step 5: Solve for x
   x = 13,093,633.07/3,855.61
6. Step 6: Final answer
   x = 3,395.99