Finding the Fourth Proportional to 2,584.00, 3,876.76 and 1,198.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.00 : 3,876.76 = 1,198.29 : x
2. Step 2: Convert to fraction form
   2,584.00/3,876.76 = 1,198.29/x
3. Step 3: Cross multiply
   2,584.00x = 3,876.76 × 1,198.29
4. Step 4: Simplify right side
   2,584.00x = 4,645,498.78
5. Step 5: Solve for x
   x = 4,645,498.78/2,584.00
6. Step 6: Final answer
   x = 1,797.79