Finding the Fourth Proportional to 89.82, 123.21 and 83.70

Step by Step Solution

1. Step 1: Write the proportion equation
   89.82 : 123.21 = 83.70 : x
2. Step 2: Convert to fraction form
   89.82/123.21 = 83.70/x
3. Step 3: Cross multiply
   89.82x = 123.21 × 83.70
4. Step 4: Simplify right side
   89.82x = 10,312.68
5. Step 5: Solve for x
   x = 10,312.68/89.82
6. Step 6: Final answer
   x = 114.81