Finding the Fourth Proportional to 76.69, 105.72 and 47.53

Step by Step Solution

1. Step 1: Write the proportion equation
   76.69 : 105.72 = 47.53 : x
2. Step 2: Convert to fraction form
   76.69/105.72 = 47.53/x
3. Step 3: Cross multiply
   76.69x = 105.72 × 47.53
4. Step 4: Simplify right side
   76.69x = 5,024.83
5. Step 5: Solve for x
   x = 5,024.83/76.69
6. Step 6: Final answer
   x = 65.52