Finding the Fourth Proportional to 76.42, 105.42 and 53.02

Step by Step Solution

1. Step 1: Write the proportion equation
   76.42 : 105.42 = 53.02 : x
2. Step 2: Convert to fraction form
   76.42/105.42 = 53.02/x
3. Step 3: Cross multiply
   76.42x = 105.42 × 53.02
4. Step 4: Simplify right side
   76.42x = 5,589.37
5. Step 5: Solve for x
   x = 5,589.37/76.42
6. Step 6: Final answer
   x = 73.14