Finding the Fourth Proportional to 2,597.60, 3,584.78 and 1,418.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.60 : 3,584.78 = 1,418.78 : x
2. Step 2: Convert to fraction form
   2,597.60/3,584.78 = 1,418.78/x
3. Step 3: Cross multiply
   2,597.60x = 3,584.78 × 1,418.78
4. Step 4: Simplify right side
   2,597.60x = 5,085,989.15
5. Step 5: Solve for x
   x = 5,085,989.15/2,597.60
6. Step 6: Final answer
   x = 1,957.96