Finding the Fourth Proportional to 105.88, 145.98 and 78.32

Step by Step Solution

1. Step 1: Write the proportion equation
   105.88 : 145.98 = 78.32 : x
2. Step 2: Convert to fraction form
   105.88/145.98 = 78.32/x
3. Step 3: Cross multiply
   105.88x = 145.98 × 78.32
4. Step 4: Simplify right side
   105.88x = 11,433.15
5. Step 5: Solve for x
   x = 11,433.15/105.88
6. Step 6: Final answer
   x = 107.98