Finding the Fourth Proportional to 2,585.13, 3,876.78 and 1,198.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.13 : 3,876.78 = 1,198.21 : x
2. Step 2: Convert to fraction form
   2,585.13/3,876.78 = 1,198.21/x
3. Step 3: Cross multiply
   2,585.13x = 3,876.78 × 1,198.21
4. Step 4: Simplify right side
   2,585.13x = 4,645,191.89
5. Step 5: Solve for x
   x = 4,645,191.89/2,585.13
6. Step 6: Final answer
   x = 1,796.89