Finding the Fourth Proportional to 2,685.90, 3,707.01 and 1,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.90 : 3,707.01 = 1,567.50 : x
2. Step 2: Convert to fraction form
   2,685.90/3,707.01 = 1,567.50/x
3. Step 3: Cross multiply
   2,685.90x = 3,707.01 × 1,567.50
4. Step 4: Simplify right side
   2,685.90x = 5,810,738.18
5. Step 5: Solve for x
   x = 5,810,738.18/2,685.90
6. Step 6: Final answer
   x = 2,163.42