Finding the Fourth Proportional to 76.42, 105.42 and 51.83

Step by Step Solution

1. Step 1: Write the proportion equation
   76.42 : 105.42 = 51.83 : x
2. Step 2: Convert to fraction form
   76.42/105.42 = 51.83/x
3. Step 3: Cross multiply
   76.42x = 105.42 × 51.83
4. Step 4: Simplify right side
   76.42x = 5,463.92
5. Step 5: Solve for x
   x = 5,463.92/76.42
6. Step 6: Final answer
   x = 71.50