Finding the Fourth Proportional to 2,554.72, 3,832.20 and 824.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,554.72 : 3,832.20 = 824.56 : x
2. Step 2: Convert to fraction form
   2,554.72/3,832.20 = 824.56/x
3. Step 3: Cross multiply
   2,554.72x = 3,832.20 × 824.56
4. Step 4: Simplify right side
   2,554.72x = 3,159,878.83
5. Step 5: Solve for x
   x = 3,159,878.83/2,554.72
6. Step 6: Final answer
   x = 1,236.88