Finding the Fourth Proportional to 2,856.87, 4,284.50 and 1,296

Step by Step Solution

1. Step 1: Write the proportion equation
   2,856.87 : 4,284.50 = 1,296 : x
2. Step 2: Convert to fraction form
   2,856.87/4,284.50 = 1,296/x
3. Step 3: Cross multiply
   2,856.87x = 4,284.50 × 1,296
4. Step 4: Simplify right side
   2,856.87x = 5,552,705.52
5. Step 5: Solve for x
   x = 5,552,705.52/2,856.87
6. Step 6: Final answer
   x = 1,943.63