Finding the Fourth Proportional to 2,585.39, 3,878.55 and 1,198.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.39 : 3,878.55 = 1,198.53 : x
2. Step 2: Convert to fraction form
   2,585.39/3,878.55 = 1,198.53/x
3. Step 3: Cross multiply
   2,585.39x = 3,878.55 × 1,198.53
4. Step 4: Simplify right side
   2,585.39x = 4,648,558.53
5. Step 5: Solve for x
   x = 4,648,558.53/2,585.39
6. Step 6: Final answer
   x = 1,798.01