Finding the Fourth Proportional to 76.42, 114.59 and 42.13

Step by Step Solution

1. Step 1: Write the proportion equation
   76.42 : 114.59 = 42.13 : x
2. Step 2: Convert to fraction form
   76.42/114.59 = 42.13/x
3. Step 3: Cross multiply
   76.42x = 114.59 × 42.13
4. Step 4: Simplify right side
   76.42x = 4,827.50
5. Step 5: Solve for x
   x = 4,827.50/76.42
6. Step 6: Final answer
   x = 63.17