Finding the Fourth Proportional to 2,077.89, 3,111.89 and 1,198.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.89 : 3,111.89 = 1,198.55 : x
2. Step 2: Convert to fraction form
   2,077.89/3,111.89 = 1,198.55/x
3. Step 3: Cross multiply
   2,077.89x = 3,111.89 × 1,198.55
4. Step 4: Simplify right side
   2,077.89x = 3,729,734.21
5. Step 5: Solve for x
   x = 3,729,734.21/2,077.89
6. Step 6: Final answer
   x = 1,794.96