Finding the Fourth Proportional to 215.47, 323.31 and 105.82

Step by Step Solution

1. Step 1: Write the proportion equation
   215.47 : 323.31 = 105.82 : x
2. Step 2: Convert to fraction form
   215.47/323.31 = 105.82/x
3. Step 3: Cross multiply
   215.47x = 323.31 × 105.82
4. Step 4: Simplify right side
   215.47x = 34,212.25
5. Step 5: Solve for x
   x = 34,212.25/215.47
6. Step 6: Final answer
   x = 158.78