Finding the Fourth Proportional to 2,593, 3,578.34 and 1,661.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593 : 3,578.34 = 1,661.56 : x
2. Step 2: Convert to fraction form
   2,593/3,578.34 = 1,661.56/x
3. Step 3: Cross multiply
   2,593x = 3,578.34 × 1,661.56
4. Step 4: Simplify right side
   2,593x = 5,945,626.61
5. Step 5: Solve for x
   x = 5,945,626.61/2,593
6. Step 6: Final answer
   x = 2,292.95