Finding the Fourth Proportional to 1,408.98, 2,111.30 and 677.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.98 : 2,111.30 = 677.82 : x
2. Step 2: Convert to fraction form
   1,408.98/2,111.30 = 677.82/x
3. Step 3: Cross multiply
   1,408.98x = 2,111.30 × 677.82
4. Step 4: Simplify right side
   1,408.98x = 1,431,081.37
5. Step 5: Solve for x
   x = 1,431,081.37/1,408.98
6. Step 6: Final answer
   x = 1,015.69