Finding the Fourth Proportional to 105.12, 157.59 and 53.69

Step by Step Solution

1. Step 1: Write the proportion equation
   105.12 : 157.59 = 53.69 : x
2. Step 2: Convert to fraction form
   105.12/157.59 = 53.69/x
3. Step 3: Cross multiply
   105.12x = 157.59 × 53.69
4. Step 4: Simplify right side
   105.12x = 8,460.22
5. Step 5: Solve for x
   x = 8,460.22/105.12
6. Step 6: Final answer
   x = 80.48