Finding the Fourth Proportional to 2,402.78, 3,599.50 and 1,578.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402.78 : 3,599.50 = 1,578.55 : x
2. Step 2: Convert to fraction form
   2,402.78/3,599.50 = 1,578.55/x
3. Step 3: Cross multiply
   2,402.78x = 3,599.50 × 1,578.55
4. Step 4: Simplify right side
   2,402.78x = 5,681,990.73
5. Step 5: Solve for x
   x = 5,681,990.73/2,402.78
6. Step 6: Final answer
   x = 2,364.76