Finding the Fourth Proportional to 105.80, 146.00 and 59.18

Step by Step Solution

1. Step 1: Write the proportion equation
   105.80 : 146.00 = 59.18 : x
2. Step 2: Convert to fraction form
   105.80/146.00 = 59.18/x
3. Step 3: Cross multiply
   105.80x = 146.00 × 59.18
4. Step 4: Simplify right side
   105.80x = 8,639.51
5. Step 5: Solve for x
   x = 8,639.51/105.80
6. Step 6: Final answer
   x = 81.66