Finding the Fourth Proportional to 76.54, 105.61 and 52.02

Step by Step Solution

1. Step 1: Write the proportion equation
   76.54 : 105.61 = 52.02 : x
2. Step 2: Convert to fraction form
   76.54/105.61 = 52.02/x
3. Step 3: Cross multiply
   76.54x = 105.61 × 52.02
4. Step 4: Simplify right side
   76.54x = 5,493.83
5. Step 5: Solve for x
   x = 5,493.83/76.54
6. Step 6: Final answer
   x = 71.78