Finding the Fourth Proportional to 2,686.53, 3,706.86 and 1,567.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686.53 : 3,706.86 = 1,567.62 : x
2. Step 2: Convert to fraction form
   2,686.53/3,706.86 = 1,567.62/x
3. Step 3: Cross multiply
   2,686.53x = 3,706.86 × 1,567.62
4. Step 4: Simplify right side
   2,686.53x = 5,810,953.75
5. Step 5: Solve for x
   x = 5,810,953.75/2,686.53
6. Step 6: Final answer
   x = 2,162.99