Finding the Fourth Proportional to 1,208.57, 1,667.98 and 684.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208.57 : 1,667.98 = 684.60 : x
2. Step 2: Convert to fraction form
   1,208.57/1,667.98 = 684.60/x
3. Step 3: Cross multiply
   1,208.57x = 1,667.98 × 684.60
4. Step 4: Simplify right side
   1,208.57x = 1,141,899.11
5. Step 5: Solve for x
   x = 1,141,899.11/1,208.57
6. Step 6: Final answer
   x = 944.83