Finding the Fourth Proportional to 105.48, 145.53 and 72.77

Step by Step Solution

1. Step 1: Write the proportion equation
   105.48 : 145.53 = 72.77 : x
2. Step 2: Convert to fraction form
   105.48/145.53 = 72.77/x
3. Step 3: Cross multiply
   105.48x = 145.53 × 72.77
4. Step 4: Simplify right side
   105.48x = 10,589.49
5. Step 5: Solve for x
   x = 10,589.49/105.48
6. Step 6: Final answer
   x = 100.39