Finding the Fourth Proportional to 7,258.56, 10,888.50 and 2,578.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,258.56 : 10,888.50 = 2,578.10 : x
2. Step 2: Convert to fraction form
   7,258.56/10,888.50 = 2,578.10/x
3. Step 3: Cross multiply
   7,258.56x = 10,888.50 × 2,578.10
4. Step 4: Simplify right side
   7,258.56x = 28,071,641.85
5. Step 5: Solve for x
   x = 28,071,641.85/7,258.56
6. Step 6: Final answer
   x = 3,867.38