Finding the Fourth Proportional to 2,686.50, 3,707.67 and 1,567.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686.50 : 3,707.67 = 1,567.20 : x
2. Step 2: Convert to fraction form
   2,686.50/3,707.67 = 1,567.20/x
3. Step 3: Cross multiply
   2,686.50x = 3,707.67 × 1,567.20
4. Step 4: Simplify right side
   2,686.50x = 5,810,660.42
5. Step 5: Solve for x
   x = 5,810,660.42/2,686.50
6. Step 6: Final answer
   x = 2,162.91