Finding the Fourth Proportional to 76.34, 105.34 and 51.82

Step by Step Solution

1. Step 1: Write the proportion equation
   76.34 : 105.34 = 51.82 : x
2. Step 2: Convert to fraction form
   76.34/105.34 = 51.82/x
3. Step 3: Cross multiply
   76.34x = 105.34 × 51.82
4. Step 4: Simplify right side
   76.34x = 5,458.72
5. Step 5: Solve for x
   x = 5,458.72/76.34
6. Step 6: Final answer
   x = 71.51