Finding the Fourth Proportional to 2,586.81, 3,878.10 and 1,198.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.81 : 3,878.10 = 1,198.38 : x
2. Step 2: Convert to fraction form
   2,586.81/3,878.10 = 1,198.38/x
3. Step 3: Cross multiply
   2,586.81x = 3,878.10 × 1,198.38
4. Step 4: Simplify right side
   2,586.81x = 4,647,437.48
5. Step 5: Solve for x
   x = 4,647,437.48/2,586.81
6. Step 6: Final answer
   x = 1,796.59