Finding the Fourth Proportional to 3,757.82, 5,185.98 and 2,266.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,757.82 : 5,185.98 = 2,266.22 : x
2. Step 2: Convert to fraction form
   3,757.82/5,185.98 = 2,266.22/x
3. Step 3: Cross multiply
   3,757.82x = 5,185.98 × 2,266.22
4. Step 4: Simplify right side
   3,757.82x = 11,752,571.60
5. Step 5: Solve for x
   x = 11,752,571.60/3,757.82
6. Step 6: Final answer
   x = 3,127.50