Finding the Fourth Proportional to 152.82, 210.89 and 83.82

Step by Step Solution

1. Step 1: Write the proportion equation
   152.82 : 210.89 = 83.82 : x
2. Step 2: Convert to fraction form
   152.82/210.89 = 83.82/x
3. Step 3: Cross multiply
   152.82x = 210.89 × 83.82
4. Step 4: Simplify right side
   152.82x = 17,676.38
5. Step 5: Solve for x
   x = 17,676.38/152.82
6. Step 6: Final answer
   x = 115.67