Finding the Fourth Proportional to 105.25, 157.68 and 82.31

Step by Step Solution

1. Step 1: Write the proportion equation
   105.25 : 157.68 = 82.31 : x
2. Step 2: Convert to fraction form
   105.25/157.68 = 82.31/x
3. Step 3: Cross multiply
   105.25x = 157.68 × 82.31
4. Step 4: Simplify right side
   105.25x = 12,978.64
5. Step 5: Solve for x
   x = 12,978.64/105.25
6. Step 6: Final answer
   x = 123.31