Finding the Fourth Proportional to 82.64, 123.84 and 42.01

Step by Step Solution

1. Step 1: Write the proportion equation
   82.64 : 123.84 = 42.01 : x
2. Step 2: Convert to fraction form
   82.64/123.84 = 42.01/x
3. Step 3: Cross multiply
   82.64x = 123.84 × 42.01
4. Step 4: Simplify right side
   82.64x = 5,202.29
5. Step 5: Solve for x
   x = 5,202.29/82.64
6. Step 6: Final answer
   x = 62.95