Finding the Fourth Proportional to 82.50, 123.69 and 34.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 123.69 = 34.38 : x
2. Step 2: Convert to fraction form
   82.50/123.69 = 34.38/x
3. Step 3: Cross multiply
   82.50x = 123.69 × 34.38
4. Step 4: Simplify right side
   82.50x = 4,252.46
5. Step 5: Solve for x
   x = 4,252.46/82.50
6. Step 6: Final answer
   x = 51.54