Finding the Fourth Proportional to 2,571.82, 3,856.96 and 816.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,571.82 : 3,856.96 = 816.76 : x
2. Step 2: Convert to fraction form
   2,571.82/3,856.96 = 816.76/x
3. Step 3: Cross multiply
   2,571.82x = 3,856.96 × 816.76
4. Step 4: Simplify right side
   2,571.82x = 3,150,187.28
5. Step 5: Solve for x
   x = 3,150,187.28/2,571.82
6. Step 6: Final answer
   x = 1,224.89