Finding the Fourth Proportional to 82.50, 123.42 and 55.32

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 123.42 = 55.32 : x
2. Step 2: Convert to fraction form
   82.50/123.42 = 55.32/x
3. Step 3: Cross multiply
   82.50x = 123.42 × 55.32
4. Step 4: Simplify right side
   82.50x = 6,827.59
5. Step 5: Solve for x
   x = 6,827.59/82.50
6. Step 6: Final answer
   x = 82.76