Finding the Fourth Proportional to 2,556.30, 3,833.55 and 824.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.30 : 3,833.55 = 824.34 : x
2. Step 2: Convert to fraction form
   2,556.30/3,833.55 = 824.34/x
3. Step 3: Cross multiply
   2,556.30x = 3,833.55 × 824.34
4. Step 4: Simplify right side
   2,556.30x = 3,160,148.61
5. Step 5: Solve for x
   x = 3,160,148.61/2,556.30
6. Step 6: Final answer
   x = 1,236.22