Finding the Fourth Proportional to 2,685, 3,705.31 and 1,566.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685 : 3,705.31 = 1,566.71 : x
2. Step 2: Convert to fraction form
   2,685/3,705.31 = 1,566.71/x
3. Step 3: Cross multiply
   2,685x = 3,705.31 × 1,566.71
4. Step 4: Simplify right side
   2,685x = 5,805,146.23
5. Step 5: Solve for x
   x = 5,805,146.23/2,685
6. Step 6: Final answer
   x = 2,162.07