Finding the Fourth Proportional to 83.75, 114.82 and 83.61

Step by Step Solution

1. Step 1: Write the proportion equation
   83.75 : 114.82 = 83.61 : x
2. Step 2: Convert to fraction form
   83.75/114.82 = 83.61/x
3. Step 3: Cross multiply
   83.75x = 114.82 × 83.61
4. Step 4: Simplify right side
   83.75x = 9,599.89
5. Step 5: Solve for x
   x = 9,599.89/83.75
6. Step 6: Final answer
   x = 114.63