Finding the Fourth Proportional to 105.50, 145.57 and 61.23

Step by Step Solution

1. Step 1: Write the proportion equation
   105.50 : 145.57 = 61.23 : x
2. Step 2: Convert to fraction form
   105.50/145.57 = 61.23/x
3. Step 3: Cross multiply
   105.50x = 145.57 × 61.23
4. Step 4: Simplify right side
   105.50x = 8,913.25
5. Step 5: Solve for x
   x = 8,913.25/105.50
6. Step 6: Final answer
   x = 84.49