Finding the Fourth Proportional to 1,208.50, 1,667.74 and 656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208.50 : 1,667.74 = 656.50 : x
2. Step 2: Convert to fraction form
   1,208.50/1,667.74 = 656.50/x
3. Step 3: Cross multiply
   1,208.50x = 1,667.74 × 656.50
4. Step 4: Simplify right side
   1,208.50x = 1,094,871.31
5. Step 5: Solve for x
   x = 1,094,871.31/1,208.50
6. Step 6: Final answer
   x = 905.98