Finding the Fourth Proportional to 2,794.50, 3,856.50 and 1,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,794.50 : 3,856.50 = 1,552.50 : x
2. Step 2: Convert to fraction form
   2,794.50/3,856.50 = 1,552.50/x
3. Step 3: Cross multiply
   2,794.50x = 3,856.50 × 1,552.50
4. Step 4: Simplify right side
   2,794.50x = 5,987,216.25
5. Step 5: Solve for x
   x = 5,987,216.25/2,794.50
6. Step 6: Final answer
   x = 2,142.50