Finding the Fourth Proportional to 2,614.43, 3,608.38 and 1,566.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614.43 : 3,608.38 = 1,566.65 : x
2. Step 2: Convert to fraction form
   2,614.43/3,608.38 = 1,566.65/x
3. Step 3: Cross multiply
   2,614.43x = 3,608.38 × 1,566.65
4. Step 4: Simplify right side
   2,614.43x = 5,653,079.51
5. Step 5: Solve for x
   x = 5,653,079.51/2,614.43
6. Step 6: Final answer
   x = 2,162.26