Finding the Fourth Proportional to 1,410.39, 2,114.09 and 678.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.39 : 2,114.09 = 678.42 : x
2. Step 2: Convert to fraction form
   1,410.39/2,114.09 = 678.42/x
3. Step 3: Cross multiply
   1,410.39x = 2,114.09 × 678.42
4. Step 4: Simplify right side
   1,410.39x = 1,434,240.94
5. Step 5: Solve for x
   x = 1,434,240.94/1,410.39
6. Step 6: Final answer
   x = 1,016.91