Finding the Fourth Proportional to 105.46, 158.14 and 59.82

Step by Step Solution

1. Step 1: Write the proportion equation
   105.46 : 158.14 = 59.82 : x
2. Step 2: Convert to fraction form
   105.46/158.14 = 59.82/x
3. Step 3: Cross multiply
   105.46x = 158.14 × 59.82
4. Step 4: Simplify right side
   105.46x = 9,459.93
5. Step 5: Solve for x
   x = 9,459.93/105.46
6. Step 6: Final answer
   x = 89.70