Finding the Fourth Proportional to 105.25, 157.83 and 36.76

Step by Step Solution

1. Step 1: Write the proportion equation
   105.25 : 157.83 = 36.76 : x
2. Step 2: Convert to fraction form
   105.25/157.83 = 36.76/x
3. Step 3: Cross multiply
   105.25x = 157.83 × 36.76
4. Step 4: Simplify right side
   105.25x = 5,801.83
5. Step 5: Solve for x
   x = 5,801.83/105.25
6. Step 6: Final answer
   x = 55.12