Finding the Fourth Proportional to 97.82, 146.71 and 32.81

Step by Step Solution

1. Step 1: Write the proportion equation
   97.82 : 146.71 = 32.81 : x
2. Step 2: Convert to fraction form
   97.82/146.71 = 32.81/x
3. Step 3: Cross multiply
   97.82x = 146.71 × 32.81
4. Step 4: Simplify right side
   97.82x = 4,814.10
5. Step 5: Solve for x
   x = 4,814.10/97.82
6. Step 6: Final answer
   x = 49.22