Finding the Fourth Proportional to 2,685.51, 3,706.10 and 1,566.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.51 : 3,706.10 = 1,566.26 : x
2. Step 2: Convert to fraction form
   2,685.51/3,706.10 = 1,566.26/x
3. Step 3: Cross multiply
   2,685.51x = 3,706.10 × 1,566.26
4. Step 4: Simplify right side
   2,685.51x = 5,804,689.82
5. Step 5: Solve for x
   x = 5,804,689.82/2,685.51
6. Step 6: Final answer
   x = 2,161.49