Finding the Fourth Proportional to 2,584.82, 3,878.82 and 1,197.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.82 : 3,878.82 = 1,197.89 : x
2. Step 2: Convert to fraction form
   2,584.82/3,878.82 = 1,197.89/x
3. Step 3: Cross multiply
   2,584.82x = 3,878.82 × 1,197.89
4. Step 4: Simplify right side
   2,584.82x = 4,646,399.69
5. Step 5: Solve for x
   x = 4,646,399.69/2,584.82
6. Step 6: Final answer
   x = 1,797.57