Finding the Fourth Proportional to 2,686.12, 3,706.61 and 1,567.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686.12 : 3,706.61 = 1,567.16 : x
2. Step 2: Convert to fraction form
   2,686.12/3,706.61 = 1,567.16/x
3. Step 3: Cross multiply
   2,686.12x = 3,706.61 × 1,567.16
4. Step 4: Simplify right side
   2,686.12x = 5,808,824.56
5. Step 5: Solve for x
   x = 5,808,824.56/2,686.12
6. Step 6: Final answer
   x = 2,162.54