Finding the Fourth Proportional to 2,556.76, 3,834.99 and 825.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.76 : 3,834.99 = 825.25 : x
2. Step 2: Convert to fraction form
   2,556.76/3,834.99 = 825.25/x
3. Step 3: Cross multiply
   2,556.76x = 3,834.99 × 825.25
4. Step 4: Simplify right side
   2,556.76x = 3,164,825.50
5. Step 5: Solve for x
   x = 3,164,825.50/2,556.76
6. Step 6: Final answer
   x = 1,237.83