Finding the Fourth Proportional to 2,284.50, 3,155.16 and 1,578.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,284.50 : 3,155.16 = 1,578.30 : x
2. Step 2: Convert to fraction form
   2,284.50/3,155.16 = 1,578.30/x
3. Step 3: Cross multiply
   2,284.50x = 3,155.16 × 1,578.30
4. Step 4: Simplify right side
   2,284.50x = 4,979,789.03
5. Step 5: Solve for x
   x = 4,979,789.03/2,284.50
6. Step 6: Final answer
   x = 2,179.82