Finding the Fourth Proportional to 105.84, 158.90 and 71.69

Step by Step Solution

1. Step 1: Write the proportion equation
   105.84 : 158.90 = 71.69 : x
2. Step 2: Convert to fraction form
   105.84/158.90 = 71.69/x
3. Step 3: Cross multiply
   105.84x = 158.90 × 71.69
4. Step 4: Simplify right side
   105.84x = 11,390.39
5. Step 5: Solve for x
   x = 11,390.39/105.84
6. Step 6: Final answer
   x = 107.62