Finding the Fourth Proportional to 2,597.56, 3,584.60 and 1,418.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.56 : 3,584.60 = 1,418.62 : x
2. Step 2: Convert to fraction form
   2,597.56/3,584.60 = 1,418.62/x
3. Step 3: Cross multiply
   2,597.56x = 3,584.60 × 1,418.62
4. Step 4: Simplify right side
   2,597.56x = 5,085,185.25
5. Step 5: Solve for x
   x = 5,085,185.25/2,597.56
6. Step 6: Final answer
   x = 1,957.68