Finding the Fourth Proportional to 89.76, 134 and 76.09

Step by Step Solution

1. Step 1: Write the proportion equation
   89.76 : 134 = 76.09 : x
2. Step 2: Convert to fraction form
   89.76/134 = 76.09/x
3. Step 3: Cross multiply
   89.76x = 134 × 76.09
4. Step 4: Simplify right side
   89.76x = 10,196.06
5. Step 5: Solve for x
   x = 10,196.06/89.76
6. Step 6: Final answer
   x = 113.59