Finding the Fourth Proportional to 2,578.64, 3,558.47 and 1,459.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.64 : 3,558.47 = 1,459.55 : x
2. Step 2: Convert to fraction form
   2,578.64/3,558.47 = 1,459.55/x
3. Step 3: Cross multiply
   2,578.64x = 3,558.47 × 1,459.55
4. Step 4: Simplify right side
   2,578.64x = 5,193,766.49
5. Step 5: Solve for x
   x = 5,193,766.49/2,578.64
6. Step 6: Final answer
   x = 2,014.15