Finding the Fourth Proportional to 116.50, 160.61 and 83.69

Step by Step Solution

1. Step 1: Write the proportion equation
   116.50 : 160.61 = 83.69 : x
2. Step 2: Convert to fraction form
   116.50/160.61 = 83.69/x
3. Step 3: Cross multiply
   116.50x = 160.61 × 83.69
4. Step 4: Simplify right side
   116.50x = 13,441.45
5. Step 5: Solve for x
   x = 13,441.45/116.50
6. Step 6: Final answer
   x = 115.38