Finding the Fourth Proportional to 1,408.29, 2,112.89 and 677.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.29 : 2,112.89 = 677.77 : x
2. Step 2: Convert to fraction form
   1,408.29/2,112.89 = 677.77/x
3. Step 3: Cross multiply
   1,408.29x = 2,112.89 × 677.77
4. Step 4: Simplify right side
   1,408.29x = 1,432,044.78
5. Step 5: Solve for x
   x = 1,432,044.78/1,408.29
6. Step 6: Final answer
   x = 1,016.87