Finding the Fourth Proportional to 1,208.14, 1,667.31 and 854.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208.14 : 1,667.31 = 854.17 : x
2. Step 2: Convert to fraction form
   1,208.14/1,667.31 = 854.17/x
3. Step 3: Cross multiply
   1,208.14x = 1,667.31 × 854.17
4. Step 4: Simplify right side
   1,208.14x = 1,424,165.90
5. Step 5: Solve for x
   x = 1,424,165.90/1,208.14
6. Step 6: Final answer
   x = 1,178.81