Finding the Fourth Proportional to 82.42, 123.64 and 31.05

Step by Step Solution

1. Step 1: Write the proportion equation
   82.42 : 123.64 = 31.05 : x
2. Step 2: Convert to fraction form
   82.42/123.64 = 31.05/x
3. Step 3: Cross multiply
   82.42x = 123.64 × 31.05
4. Step 4: Simplify right side
   82.42x = 3,838.94
5. Step 5: Solve for x
   x = 3,838.94/82.42
6. Step 6: Final answer
   x = 46.58