Finding the Fourth Proportional to 105.82, 158.74 and 37.34

Step by Step Solution

1. Step 1: Write the proportion equation
   105.82 : 158.74 = 37.34 : x
2. Step 2: Convert to fraction form
   105.82/158.74 = 37.34/x
3. Step 3: Cross multiply
   105.82x = 158.74 × 37.34
4. Step 4: Simplify right side
   105.82x = 5,927.84
5. Step 5: Solve for x
   x = 5,927.84/105.82
6. Step 6: Final answer
   x = 56.02