Finding the Fourth Proportional to 105.67, 145.76 and 74.58

Step by Step Solution

1. Step 1: Write the proportion equation
   105.67 : 145.76 = 74.58 : x
2. Step 2: Convert to fraction form
   105.67/145.76 = 74.58/x
3. Step 3: Cross multiply
   105.67x = 145.76 × 74.58
4. Step 4: Simplify right side
   105.67x = 10,870.78
5. Step 5: Solve for x
   x = 10,870.78/105.67
6. Step 6: Final answer
   x = 102.87