Finding the Fourth Proportional to 82.58, 123.82 and 75.05

Step by Step Solution

1. Step 1: Write the proportion equation
   82.58 : 123.82 = 75.05 : x
2. Step 2: Convert to fraction form
   82.58/123.82 = 75.05/x
3. Step 3: Cross multiply
   82.58x = 123.82 × 75.05
4. Step 4: Simplify right side
   82.58x = 9,291.88
5. Step 5: Solve for x
   x = 9,291.88/82.58
6. Step 6: Final answer
   x = 112.52