Finding the Fourth Proportional to 89.57, 123.71 and 84.07

Step by Step Solution

1. Step 1: Write the proportion equation
   89.57 : 123.71 = 84.07 : x
2. Step 2: Convert to fraction form
   89.57/123.71 = 84.07/x
3. Step 3: Cross multiply
   89.57x = 123.71 × 84.07
4. Step 4: Simplify right side
   89.57x = 10,400.03
5. Step 5: Solve for x
   x = 10,400.03/89.57
6. Step 6: Final answer
   x = 116.11