Finding the Fourth Proportional to 2,799.52, 4,198.23 and 824.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,799.52 : 4,198.23 = 824.62 : x
2. Step 2: Convert to fraction form
   2,799.52/4,198.23 = 824.62/x
3. Step 3: Cross multiply
   2,799.52x = 4,198.23 × 824.62
4. Step 4: Simplify right side
   2,799.52x = 3,461,944.42
5. Step 5: Solve for x
   x = 3,461,944.42/2,799.52
6. Step 6: Final answer
   x = 1,236.62