Finding the Fourth Proportional to 2,685.75, 3,706.52 and 1,566.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.75 : 3,706.52 = 1,566.73 : x
2. Step 2: Convert to fraction form
   2,685.75/3,706.52 = 1,566.73/x
3. Step 3: Cross multiply
   2,685.75x = 3,706.52 × 1,566.73
4. Step 4: Simplify right side
   2,685.75x = 5,807,116.08
5. Step 5: Solve for x
   x = 5,807,116.08/2,685.75
6. Step 6: Final answer
   x = 2,162.20