Finding the Fourth Proportional to 2,777.00, 4,164.89 and 829.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,777.00 : 4,164.89 = 829.35 : x
2. Step 2: Convert to fraction form
   2,777.00/4,164.89 = 829.35/x
3. Step 3: Cross multiply
   2,777.00x = 4,164.89 × 829.35
4. Step 4: Simplify right side
   2,777.00x = 3,454,147.37
5. Step 5: Solve for x
   x = 3,454,147.37/2,777.00
6. Step 6: Final answer
   x = 1,243.84