Finding the Fourth Proportional to 82.42, 113.78 and 53.33

Step by Step Solution

1. Step 1: Write the proportion equation
   82.42 : 113.78 = 53.33 : x
2. Step 2: Convert to fraction form
   82.42/113.78 = 53.33/x
3. Step 3: Cross multiply
   82.42x = 113.78 × 53.33
4. Step 4: Simplify right side
   82.42x = 6,067.19
5. Step 5: Solve for x
   x = 6,067.19/82.42
6. Step 6: Final answer
   x = 73.62