Finding the Fourth Proportional to 96.42, 144.69 and 53.16

Step by Step Solution

1. Step 1: Write the proportion equation
   96.42 : 144.69 = 53.16 : x
2. Step 2: Convert to fraction form
   96.42/144.69 = 53.16/x
3. Step 3: Cross multiply
   96.42x = 144.69 × 53.16
4. Step 4: Simplify right side
   96.42x = 7,691.72
5. Step 5: Solve for x
   x = 7,691.72/96.42
6. Step 6: Final answer
   x = 79.77