Finding the Fourth Proportional to 2,614.30, 3,606.32 and 1,566.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614.30 : 3,606.32 = 1,566.16 : x
2. Step 2: Convert to fraction form
   2,614.30/3,606.32 = 1,566.16/x
3. Step 3: Cross multiply
   2,614.30x = 3,606.32 × 1,566.16
4. Step 4: Simplify right side
   2,614.30x = 5,648,074.13
5. Step 5: Solve for x
   x = 5,648,074.13/2,614.30
6. Step 6: Final answer
   x = 2,160.45