Finding the Fourth Proportional to 105.71, 145.91 and 74.63

Step by Step Solution

1. Step 1: Write the proportion equation
   105.71 : 145.91 = 74.63 : x
2. Step 2: Convert to fraction form
   105.71/145.91 = 74.63/x
3. Step 3: Cross multiply
   105.71x = 145.91 × 74.63
4. Step 4: Simplify right side
   105.71x = 10,888.72
5. Step 5: Solve for x
   x = 10,888.72/105.71
6. Step 6: Final answer
   x = 103.00