Finding the Fourth Proportional to 105.77, 146.00 and 62.15

Step by Step Solution

1. Step 1: Write the proportion equation
   105.77 : 146.00 = 62.15 : x
2. Step 2: Convert to fraction form
   105.77/146.00 = 62.15/x
3. Step 3: Cross multiply
   105.77x = 146.00 × 62.15
4. Step 4: Simplify right side
   105.77x = 9,072.86
5. Step 5: Solve for x
   x = 9,072.86/105.77
6. Step 6: Final answer
   x = 85.78