Finding the Fourth Proportional to 2,584.21, 3,874.15 and 1,198.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.21 : 3,874.15 = 1,198.53 : x
2. Step 2: Convert to fraction form
   2,584.21/3,874.15 = 1,198.53/x
3. Step 3: Cross multiply
   2,584.21x = 3,874.15 × 1,198.53
4. Step 4: Simplify right side
   2,584.21x = 4,643,279.01
5. Step 5: Solve for x
   x = 4,643,279.01/2,584.21
6. Step 6: Final answer
   x = 1,796.79