Finding the Fourth Proportional to 105.39, 157.71 and 83.53

Step by Step Solution

1. Step 1: Write the proportion equation
   105.39 : 157.71 = 83.53 : x
2. Step 2: Convert to fraction form
   105.39/157.71 = 83.53/x
3. Step 3: Cross multiply
   105.39x = 157.71 × 83.53
4. Step 4: Simplify right side
   105.39x = 13,173.52
5. Step 5: Solve for x
   x = 13,173.52/105.39
6. Step 6: Final answer
   x = 125.00