Finding the Fourth Proportional to 2,585.06, 3,877.61 and 1,198.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.06 : 3,877.61 = 1,198.00 : x
2. Step 2: Convert to fraction form
   2,585.06/3,877.61 = 1,198.00/x
3. Step 3: Cross multiply
   2,585.06x = 3,877.61 × 1,198.00
4. Step 4: Simplify right side
   2,585.06x = 4,645,361.10
5. Step 5: Solve for x
   x = 4,645,361.10/2,585.06
6. Step 6: Final answer
   x = 1,797.01