Finding the Fourth Proportional to 2,685.50, 3,706.08 and 1,566.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.50 : 3,706.08 = 1,566.20 : x
2. Step 2: Convert to fraction form
   2,685.50/3,706.08 = 1,566.20/x
3. Step 3: Cross multiply
   2,685.50x = 3,706.08 × 1,566.20
4. Step 4: Simplify right side
   2,685.50x = 5,804,462.50
5. Step 5: Solve for x
   x = 5,804,462.50/2,685.50
6. Step 6: Final answer
   x = 2,161.41