Finding the Fourth Proportional to 2,162.30, 2,984.56 and 1,278.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162.30 : 2,984.56 = 1,278.42 : x
2. Step 2: Convert to fraction form
   2,162.30/2,984.56 = 1,278.42/x
3. Step 3: Cross multiply
   2,162.30x = 2,984.56 × 1,278.42
4. Step 4: Simplify right side
   2,162.30x = 3,815,521.20
5. Step 5: Solve for x
   x = 3,815,521.20/2,162.30
6. Step 6: Final answer
   x = 1,764.57