Finding the Fourth Proportional to 2,776.82, 4,164.50 and 828.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,776.82 : 4,164.50 = 828.56 : x
2. Step 2: Convert to fraction form
   2,776.82/4,164.50 = 828.56/x
3. Step 3: Cross multiply
   2,776.82x = 4,164.50 × 828.56
4. Step 4: Simplify right side
   2,776.82x = 3,450,550.60
5. Step 5: Solve for x
   x = 3,450,550.60/2,776.82
6. Step 6: Final answer
   x = 1,242.63