Finding the Fourth Proportional to 76.86, 105.63 and 72.27

Step by Step Solution

1. Step 1: Write the proportion equation
   76.86 : 105.63 = 72.27 : x
2. Step 2: Convert to fraction form
   76.86/105.63 = 72.27/x
3. Step 3: Cross multiply
   76.86x = 105.63 × 72.27
4. Step 4: Simplify right side
   76.86x = 7,633.88
5. Step 5: Solve for x
   x = 7,633.88/76.86
6. Step 6: Final answer
   x = 99.32