Finding the Fourth Proportional to 89.76, 123.89 and 84.77

Step by Step Solution

1. Step 1: Write the proportion equation
   89.76 : 123.89 = 84.77 : x
2. Step 2: Convert to fraction form
   89.76/123.89 = 84.77/x
3. Step 3: Cross multiply
   89.76x = 123.89 × 84.77
4. Step 4: Simplify right side
   89.76x = 10,501.11
5. Step 5: Solve for x
   x = 10,501.11/89.76
6. Step 6: Final answer
   x = 116.99