Finding the Fourth Proportional to 2,049.01, 2,827.60 and 1,198.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.01 : 2,827.60 = 1,198.35 : x
2. Step 2: Convert to fraction form
   2,049.01/2,827.60 = 1,198.35/x
3. Step 3: Cross multiply
   2,049.01x = 2,827.60 × 1,198.35
4. Step 4: Simplify right side
   2,049.01x = 3,388,437.33
5. Step 5: Solve for x
   x = 3,388,437.33/2,049.01
6. Step 6: Final answer
   x = 1,653.69