Finding the Fourth Proportional to 76.27, 114.33 and 42.02

Step by Step Solution

1. Step 1: Write the proportion equation
   76.27 : 114.33 = 42.02 : x
2. Step 2: Convert to fraction form
   76.27/114.33 = 42.02/x
3. Step 3: Cross multiply
   76.27x = 114.33 × 42.02
4. Step 4: Simplify right side
   76.27x = 4,804.15
5. Step 5: Solve for x
   x = 4,804.15/76.27
6. Step 6: Final answer
   x = 62.99