Finding the Fourth Proportional to 2,555.72, 3,834.12 and 824.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,555.72 : 3,834.12 = 824.28 : x
2. Step 2: Convert to fraction form
   2,555.72/3,834.12 = 824.28/x
3. Step 3: Cross multiply
   2,555.72x = 3,834.12 × 824.28
4. Step 4: Simplify right side
   2,555.72x = 3,160,388.43
5. Step 5: Solve for x
   x = 3,160,388.43/2,555.72
6. Step 6: Final answer
   x = 1,236.59