Finding the Fourth Proportional to 2,627.40, 3,902.19 and 2,578.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.40 : 3,902.19 = 2,578.80 : x
2. Step 2: Convert to fraction form
   2,627.40/3,902.19 = 2,578.80/x
3. Step 3: Cross multiply
   2,627.40x = 3,902.19 × 2,578.80
4. Step 4: Simplify right side
   2,627.40x = 10,062,967.57
5. Step 5: Solve for x
   x = 10,062,967.57/2,627.40
6. Step 6: Final answer
   x = 3,830.01