Finding the Fourth Proportional to 105.89, 146.15 and 59.28

Step by Step Solution

1. Step 1: Write the proportion equation
   105.89 : 146.15 = 59.28 : x
2. Step 2: Convert to fraction form
   105.89/146.15 = 59.28/x
3. Step 3: Cross multiply
   105.89x = 146.15 × 59.28
4. Step 4: Simplify right side
   105.89x = 8,663.77
5. Step 5: Solve for x
   x = 8,663.77/105.89
6. Step 6: Final answer
   x = 81.82