Finding the Fourth Proportional to 348.78, 523.25 and 105.31

Step by Step Solution

1. Step 1: Write the proportion equation
   348.78 : 523.25 = 105.31 : x
2. Step 2: Convert to fraction form
   348.78/523.25 = 105.31/x
3. Step 3: Cross multiply
   348.78x = 523.25 × 105.31
4. Step 4: Simplify right side
   348.78x = 55,103.46
5. Step 5: Solve for x
   x = 55,103.46/348.78
6. Step 6: Final answer
   x = 157.99