Finding the Fourth Proportional to 2,772.83, 4,158.63 and 824.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,772.83 : 4,158.63 = 824.55 : x
2. Step 2: Convert to fraction form
   2,772.83/4,158.63 = 824.55/x
3. Step 3: Cross multiply
   2,772.83x = 4,158.63 × 824.55
4. Step 4: Simplify right side
   2,772.83x = 3,428,998.37
5. Step 5: Solve for x
   x = 3,428,998.37/2,772.83
6. Step 6: Final answer
   x = 1,236.64