Finding the Fourth Proportional to 97.29, 145.83 and 83.82

Step by Step Solution

1. Step 1: Write the proportion equation
   97.29 : 145.83 = 83.82 : x
2. Step 2: Convert to fraction form
   97.29/145.83 = 83.82/x
3. Step 3: Cross multiply
   97.29x = 145.83 × 83.82
4. Step 4: Simplify right side
   97.29x = 12,223.47
5. Step 5: Solve for x
   x = 12,223.47/97.29
6. Step 6: Final answer
   x = 125.64