Finding the Fourth Proportional to 82.34, 123.43 and 31.01

Step by Step Solution

1. Step 1: Write the proportion equation
   82.34 : 123.43 = 31.01 : x
2. Step 2: Convert to fraction form
   82.34/123.43 = 31.01/x
3. Step 3: Cross multiply
   82.34x = 123.43 × 31.01
4. Step 4: Simplify right side
   82.34x = 3,828.10
5. Step 5: Solve for x
   x = 3,828.10/82.34
6. Step 6: Final answer
   x = 46.49