Finding the Fourth Proportional to 76.46, 105.50 and 51.89

Step by Step Solution

1. Step 1: Write the proportion equation
   76.46 : 105.50 = 51.89 : x
2. Step 2: Convert to fraction form
   76.46/105.50 = 51.89/x
3. Step 3: Cross multiply
   76.46x = 105.50 × 51.89
4. Step 4: Simplify right side
   76.46x = 5,473.61
5. Step 5: Solve for x
   x = 5,473.61/76.46
6. Step 6: Final answer
   x = 71.59