Finding the Fourth Proportional to 2,123.80, 3,182.82 and 1,198.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.80 : 3,182.82 = 1,198.90 : x
2. Step 2: Convert to fraction form
   2,123.80/3,182.82 = 1,198.90/x
3. Step 3: Cross multiply
   2,123.80x = 3,182.82 × 1,198.90
4. Step 4: Simplify right side
   2,123.80x = 3,815,882.90
5. Step 5: Solve for x
   x = 3,815,882.90/2,123.80
6. Step 6: Final answer
   x = 1,796.72