Finding the Fourth Proportional to 105.63, 145.80 and 72.82

Step by Step Solution

1. Step 1: Write the proportion equation
   105.63 : 145.80 = 72.82 : x
2. Step 2: Convert to fraction form
   105.63/145.80 = 72.82/x
3. Step 3: Cross multiply
   105.63x = 145.80 × 72.82
4. Step 4: Simplify right side
   105.63x = 10,617.75
5. Step 5: Solve for x
   x = 10,617.75/105.63
6. Step 6: Final answer
   x = 100.52