Finding the Fourth Proportional to 2,686, 3,706.69 and 1,567.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686 : 3,706.69 = 1,567.71 : x
2. Step 2: Convert to fraction form
   2,686/3,706.69 = 1,567.71/x
3. Step 3: Cross multiply
   2,686x = 3,706.69 × 1,567.71
4. Step 4: Simplify right side
   2,686x = 5,811,014.98
5. Step 5: Solve for x
   x = 5,811,014.98/2,686
6. Step 6: Final answer
   x = 2,163.45