Finding the Fourth Proportional to 961.50, 1,327.35 and 685.98

Step by Step Solution

1. Step 1: Write the proportion equation
   961.50 : 1,327.35 = 685.98 : x
2. Step 2: Convert to fraction form
   961.50/1,327.35 = 685.98/x
3. Step 3: Cross multiply
   961.50x = 1,327.35 × 685.98
4. Step 4: Simplify right side
   961.50x = 910,535.55
5. Step 5: Solve for x
   x = 910,535.55/961.50
6. Step 6: Final answer
   x = 946.99