Finding the Fourth Proportional to 83.06, 114.61 and 69.89

Step by Step Solution

1. Step 1: Write the proportion equation
   83.06 : 114.61 = 69.89 : x
2. Step 2: Convert to fraction form
   83.06/114.61 = 69.89/x
3. Step 3: Cross multiply
   83.06x = 114.61 × 69.89
4. Step 4: Simplify right side
   83.06x = 8,010.20
5. Step 5: Solve for x
   x = 8,010.20/83.06
6. Step 6: Final answer
   x = 96.44