Finding the Fourth Proportional to 76.88, 106.10 and 42.38

Step by Step Solution

1. Step 1: Write the proportion equation
   76.88 : 106.10 = 42.38 : x
2. Step 2: Convert to fraction form
   76.88/106.10 = 42.38/x
3. Step 3: Cross multiply
   76.88x = 106.10 × 42.38
4. Step 4: Simplify right side
   76.88x = 4,495.78
5. Step 5: Solve for x
   x = 4,495.78/76.88
6. Step 6: Final answer
   x = 58.48