Finding the Fourth Proportional to 105.55, 145.80 and 82.53

Step by Step Solution

1. Step 1: Write the proportion equation
   105.55 : 145.80 = 82.53 : x
2. Step 2: Convert to fraction form
   105.55/145.80 = 82.53/x
3. Step 3: Cross multiply
   105.55x = 145.80 × 82.53
4. Step 4: Simplify right side
   105.55x = 12,032.16
5. Step 5: Solve for x
   x = 12,032.16/105.55
6. Step 6: Final answer
   x = 114.00