Finding the Fourth Proportional to 2,556.02, 3,834.59 and 824.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.02 : 3,834.59 = 824.62 : x
2. Step 2: Convert to fraction form
   2,556.02/3,834.59 = 824.62/x
3. Step 3: Cross multiply
   2,556.02x = 3,834.59 × 824.62
4. Step 4: Simplify right side
   2,556.02x = 3,162,079.61
5. Step 5: Solve for x
   x = 3,162,079.61/2,556.02
6. Step 6: Final answer
   x = 1,237.11