Finding the Fourth Proportional to 102.06, 152.55 and 82.59

Step by Step Solution

1. Step 1: Write the proportion equation
   102.06 : 152.55 = 82.59 : x
2. Step 2: Convert to fraction form
   102.06/152.55 = 82.59/x
3. Step 3: Cross multiply
   102.06x = 152.55 × 82.59
4. Step 4: Simplify right side
   102.06x = 12,599.10
5. Step 5: Solve for x
   x = 12,599.10/102.06
6. Step 6: Final answer
   x = 123.45