Finding the Fourth Proportional to 120.89, 166.83 and 65.63

Step by Step Solution

1. Step 1: Write the proportion equation
   120.89 : 166.83 = 65.63 : x
2. Step 2: Convert to fraction form
   120.89/166.83 = 65.63/x
3. Step 3: Cross multiply
   120.89x = 166.83 × 65.63
4. Step 4: Simplify right side
   120.89x = 10,947.89
5. Step 5: Solve for x
   x = 10,947.89/120.89
6. Step 6: Final answer
   x = 90.56