Finding the Fourth Proportional to 1,412.94, 2,119.89 and 682.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.94 : 2,119.89 = 682.42 : x
2. Step 2: Convert to fraction form
   1,412.94/2,119.89 = 682.42/x
3. Step 3: Cross multiply
   1,412.94x = 2,119.89 × 682.42
4. Step 4: Simplify right side
   1,412.94x = 1,446,655.33
5. Step 5: Solve for x
   x = 1,446,655.33/1,412.94
6. Step 6: Final answer
   x = 1,023.86