Finding the Fourth Proportional to 105.02, 157.56 and 31.89

Step by Step Solution

1. Step 1: Write the proportion equation
   105.02 : 157.56 = 31.89 : x
2. Step 2: Convert to fraction form
   105.02/157.56 = 31.89/x
3. Step 3: Cross multiply
   105.02x = 157.56 × 31.89
4. Step 4: Simplify right side
   105.02x = 5,025.06
5. Step 5: Solve for x
   x = 5,025.06/105.02
6. Step 6: Final answer
   x = 47.85