Finding the Fourth Proportional to 76.82, 106 and 42.32

Step by Step Solution

1. Step 1: Write the proportion equation
   76.82 : 106 = 42.32 : x
2. Step 2: Convert to fraction form
   76.82/106 = 42.32/x
3. Step 3: Cross multiply
   76.82x = 106 × 42.32
4. Step 4: Simplify right side
   76.82x = 4,485.39
5. Step 5: Solve for x
   x = 4,485.39/76.82
6. Step 6: Final answer
   x = 58.39