Finding the Fourth Proportional to 2,556.72, 3,834.64 and 825.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.72 : 3,834.64 = 825.35 : x
2. Step 2: Convert to fraction form
   2,556.72/3,834.64 = 825.35/x
3. Step 3: Cross multiply
   2,556.72x = 3,834.64 × 825.35
4. Step 4: Simplify right side
   2,556.72x = 3,164,920.12
5. Step 5: Solve for x
   x = 3,164,920.12/2,556.72
6. Step 6: Final answer
   x = 1,237.88