Finding the Fourth Proportional to 76.38, 105.42 and 51.48

Step by Step Solution

1. Step 1: Write the proportion equation
   76.38 : 105.42 = 51.48 : x
2. Step 2: Convert to fraction form
   76.38/105.42 = 51.48/x
3. Step 3: Cross multiply
   76.38x = 105.42 × 51.48
4. Step 4: Simplify right side
   76.38x = 5,426.51
5. Step 5: Solve for x
   x = 5,426.51/76.38
6. Step 6: Final answer
   x = 71.05