Finding the Fourth Proportional to 2,142.56, 2,956.43 and 1,198.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.56 : 2,956.43 = 1,198.30 : x
2. Step 2: Convert to fraction form
   2,142.56/2,956.43 = 1,198.30/x
3. Step 3: Cross multiply
   2,142.56x = 2,956.43 × 1,198.30
4. Step 4: Simplify right side
   2,142.56x = 3,542,679.68
5. Step 5: Solve for x
   x = 3,542,679.68/2,142.56
6. Step 6: Final answer
   x = 1,653.48