Finding the Fourth Proportional to 2,685.09, 3,705.37 and 1,566.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.09 : 3,705.37 = 1,566.07 : x
2. Step 2: Convert to fraction form
   2,685.09/3,705.37 = 1,566.07/x
3. Step 3: Cross multiply
   2,685.09x = 3,705.37 × 1,566.07
4. Step 4: Simplify right side
   2,685.09x = 5,802,868.80
5. Step 5: Solve for x
   x = 5,802,868.80/2,685.09
6. Step 6: Final answer
   x = 2,161.14