Finding the Fourth Proportional to 2,614.23, 3,606.89 and 1,566.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614.23 : 3,606.89 = 1,566.09 : x
2. Step 2: Convert to fraction form
   2,614.23/3,606.89 = 1,566.09/x
3. Step 3: Cross multiply
   2,614.23x = 3,606.89 × 1,566.09
4. Step 4: Simplify right side
   2,614.23x = 5,648,706.53
5. Step 5: Solve for x
   x = 5,648,706.53/2,614.23
6. Step 6: Final answer
   x = 2,160.75