Finding the Fourth Proportional to 82.58, 123.76 and 55.10

Step by Step Solution

1. Step 1: Write the proportion equation
   82.58 : 123.76 = 55.10 : x
2. Step 2: Convert to fraction form
   82.58/123.76 = 55.10/x
3. Step 3: Cross multiply
   82.58x = 123.76 × 55.10
4. Step 4: Simplify right side
   82.58x = 6,819.18
5. Step 5: Solve for x
   x = 6,819.18/82.58
6. Step 6: Final answer
   x = 82.58