Finding the Fourth Proportional to 76.82, 105.98 and 55.02

Step by Step Solution

1. Step 1: Write the proportion equation
   76.82 : 105.98 = 55.02 : x
2. Step 2: Convert to fraction form
   76.82/105.98 = 55.02/x
3. Step 3: Cross multiply
   76.82x = 105.98 × 55.02
4. Step 4: Simplify right side
   76.82x = 5,831.02
5. Step 5: Solve for x
   x = 5,831.02/76.82
6. Step 6: Final answer
   x = 75.90