Finding the Fourth Proportional to 2,556.64, 3,834.22 and 996.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.64 : 3,834.22 = 996.30 : x
2. Step 2: Convert to fraction form
   2,556.64/3,834.22 = 996.30/x
3. Step 3: Cross multiply
   2,556.64x = 3,834.22 × 996.30
4. Step 4: Simplify right side
   2,556.64x = 3,820,011.72
5. Step 5: Solve for x
   x = 3,820,011.72/2,556.64
6. Step 6: Final answer
   x = 1,494.15