Finding the Fourth Proportional to 89.82, 123.80 and 83.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89.82 : 123.80 = 83.75 : x
2. Step 2: Convert to fraction form
   89.82/123.80 = 83.75/x
3. Step 3: Cross multiply
   89.82x = 123.80 × 83.75
4. Step 4: Simplify right side
   89.82x = 10,367.21
5. Step 5: Solve for x
   x = 10,367.21/89.82
6. Step 6: Final answer
   x = 115.42