Finding the Fourth Proportional to 2,198.86, 3,034.50 and 1,204.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,198.86 : 3,034.50 = 1,204.14 : x
2. Step 2: Convert to fraction form
   2,198.86/3,034.50 = 1,204.14/x
3. Step 3: Cross multiply
   2,198.86x = 3,034.50 × 1,204.14
4. Step 4: Simplify right side
   2,198.86x = 3,653,962.83
5. Step 5: Solve for x
   x = 3,653,962.83/2,198.86
6. Step 6: Final answer
   x = 1,661.75