Finding the Fourth Proportional to 2,685.05, 3,705.39 and 1,566.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.05 : 3,705.39 = 1,566.66 : x
2. Step 2: Convert to fraction form
   2,685.05/3,705.39 = 1,566.66/x
3. Step 3: Cross multiply
   2,685.05x = 3,705.39 × 1,566.66
4. Step 4: Simplify right side
   2,685.05x = 5,805,086.30
5. Step 5: Solve for x
   x = 5,805,086.30/2,685.05
6. Step 6: Final answer
   x = 2,162.01