Finding the Fourth Proportional to 3,578.80, 4,937.52 and 2,086.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,578.80 : 4,937.52 = 2,086.24 : x
2. Step 2: Convert to fraction form
   3,578.80/4,937.52 = 2,086.24/x
3. Step 3: Cross multiply
   3,578.80x = 4,937.52 × 2,086.24
4. Step 4: Simplify right side
   3,578.80x = 10,300,851.72
5. Step 5: Solve for x
   x = 10,300,851.72/3,578.80
6. Step 6: Final answer
   x = 2,878.30