Finding the Fourth Proportional to 76.83, 106.02 and 42.33

Step by Step Solution

1. Step 1: Write the proportion equation
   76.83 : 106.02 = 42.33 : x
2. Step 2: Convert to fraction form
   76.83/106.02 = 42.33/x
3. Step 3: Cross multiply
   76.83x = 106.02 × 42.33
4. Step 4: Simplify right side
   76.83x = 4,487.75
5. Step 5: Solve for x
   x = 4,487.75/76.83
6. Step 6: Final answer
   x = 58.41