Finding the Fourth Proportional to 2,142.34, 2,956.48 and 1,198.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.34 : 2,956.48 = 1,198.10 : x
2. Step 2: Convert to fraction form
   2,142.34/2,956.48 = 1,198.10/x
3. Step 3: Cross multiply
   2,142.34x = 2,956.48 × 1,198.10
4. Step 4: Simplify right side
   2,142.34x = 3,542,158.69
5. Step 5: Solve for x
   x = 3,542,158.69/2,142.34
6. Step 6: Final answer
   x = 1,653.41