Finding the Fourth Proportional to 2,685.34, 3,705.89 and 1,566.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.34 : 3,705.89 = 1,566.10 : x
2. Step 2: Convert to fraction form
   2,685.34/3,705.89 = 1,566.10/x
3. Step 3: Cross multiply
   2,685.34x = 3,705.89 × 1,566.10
4. Step 4: Simplify right side
   2,685.34x = 5,803,767.97
5. Step 5: Solve for x
   x = 5,803,767.97/2,685.34
6. Step 6: Final answer
   x = 2,161.28