Finding the Fourth Proportional to 1,208.38, 1,667.34 and 677.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208.38 : 1,667.34 = 677.14 : x
2. Step 2: Convert to fraction form
   1,208.38/1,667.34 = 677.14/x
3. Step 3: Cross multiply
   1,208.38x = 1,667.34 × 677.14
4. Step 4: Simplify right side
   1,208.38x = 1,129,022.61
5. Step 5: Solve for x
   x = 1,129,022.61/1,208.38
6. Step 6: Final answer
   x = 934.33