Finding the Fourth Proportional to 2,614.61, 3,607.70 and 1,566.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614.61 : 3,607.70 = 1,566.69 : x
2. Step 2: Convert to fraction form
   2,614.61/3,607.70 = 1,566.69/x
3. Step 3: Cross multiply
   2,614.61x = 3,607.70 × 1,566.69
4. Step 4: Simplify right side
   2,614.61x = 5,652,139.68
5. Step 5: Solve for x
   x = 5,652,139.68/2,614.61
6. Step 6: Final answer
   x = 2,161.76