Finding the Fourth Proportional to 91.82, 137.72 and 34.82

Step by Step Solution

1. Step 1: Write the proportion equation
   91.82 : 137.72 = 34.82 : x
2. Step 2: Convert to fraction form
   91.82/137.72 = 34.82/x
3. Step 3: Cross multiply
   91.82x = 137.72 × 34.82
4. Step 4: Simplify right side
   91.82x = 4,795.41
5. Step 5: Solve for x
   x = 4,795.41/91.82
6. Step 6: Final answer
   x = 52.23