Finding the Fourth Proportional to 89.82, 123.86 and 78.08

Step by Step Solution

1. Step 1: Write the proportion equation
   89.82 : 123.86 = 78.08 : x
2. Step 2: Convert to fraction form
   89.82/123.86 = 78.08/x
3. Step 3: Cross multiply
   89.82x = 123.86 × 78.08
4. Step 4: Simplify right side
   89.82x = 9,670.56
5. Step 5: Solve for x
   x = 9,670.56/89.82
6. Step 6: Final answer
   x = 107.67