Finding the Fourth Proportional to 82.58, 123.74 and 58.16

Step by Step Solution

1. Step 1: Write the proportion equation
   82.58 : 123.74 = 58.16 : x
2. Step 2: Convert to fraction form
   82.58/123.74 = 58.16/x
3. Step 3: Cross multiply
   82.58x = 123.74 × 58.16
4. Step 4: Simplify right side
   82.58x = 7,196.72
5. Step 5: Solve for x
   x = 7,196.72/82.58
6. Step 6: Final answer
   x = 87.15