Finding the Fourth Proportional to 76.37, 105.30 and 53.06

Step by Step Solution

1. Step 1: Write the proportion equation
   76.37 : 105.30 = 53.06 : x
2. Step 2: Convert to fraction form
   76.37/105.30 = 53.06/x
3. Step 3: Cross multiply
   76.37x = 105.30 × 53.06
4. Step 4: Simplify right side
   76.37x = 5,586.69
5. Step 5: Solve for x
   x = 5,586.69/76.37
6. Step 6: Final answer
   x = 73.16