Finding the Fourth Proportional to 105.49, 145.59 and 61.83

Step by Step Solution

1. Step 1: Write the proportion equation
   105.49 : 145.59 = 61.83 : x
2. Step 2: Convert to fraction form
   105.49/145.59 = 61.83/x
3. Step 3: Cross multiply
   105.49x = 145.59 × 61.83
4. Step 4: Simplify right side
   105.49x = 9,001.83
5. Step 5: Solve for x
   x = 9,001.83/105.49
6. Step 6: Final answer
   x = 85.33