Finding the Fourth Proportional to 76.17, 105.06 and 51.61

Step by Step Solution

1. Step 1: Write the proportion equation
   76.17 : 105.06 = 51.61 : x
2. Step 2: Convert to fraction form
   76.17/105.06 = 51.61/x
3. Step 3: Cross multiply
   76.17x = 105.06 × 51.61
4. Step 4: Simplify right side
   76.17x = 5,422.15
5. Step 5: Solve for x
   x = 5,422.15/76.17
6. Step 6: Final answer
   x = 71.18