Finding the Fourth Proportional to 105.19, 145.28 and 69.82

Step by Step Solution

1. Step 1: Write the proportion equation
   105.19 : 145.28 = 69.82 : x
2. Step 2: Convert to fraction form
   105.19/145.28 = 69.82/x
3. Step 3: Cross multiply
   105.19x = 145.28 × 69.82
4. Step 4: Simplify right side
   105.19x = 10,143.45
5. Step 5: Solve for x
   x = 10,143.45/105.19
6. Step 6: Final answer
   x = 96.43