Finding the Fourth Proportional to 948.16, 1,308.42 and 685.72

Step by Step Solution

1. Step 1: Write the proportion equation
   948.16 : 1,308.42 = 685.72 : x
2. Step 2: Convert to fraction form
   948.16/1,308.42 = 685.72/x
3. Step 3: Cross multiply
   948.16x = 1,308.42 × 685.72
4. Step 4: Simplify right side
   948.16x = 897,209.76
5. Step 5: Solve for x
   x = 897,209.76/948.16
6. Step 6: Final answer
   x = 946.26