Finding the Fourth Proportional to 2,686.15, 3,706.71 and 1,567.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686.15 : 3,706.71 = 1,567.40 : x
2. Step 2: Convert to fraction form
   2,686.15/3,706.71 = 1,567.40/x
3. Step 3: Cross multiply
   2,686.15x = 3,706.71 × 1,567.40
4. Step 4: Simplify right side
   2,686.15x = 5,809,897.25
5. Step 5: Solve for x
   x = 5,809,897.25/2,686.15
6. Step 6: Final answer
   x = 2,162.91