Finding the Fourth Proportional to 116.30, 160.28 and 83.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116.30 : 160.28 = 83.50 : x
2. Step 2: Convert to fraction form
   116.30/160.28 = 83.50/x
3. Step 3: Cross multiply
   116.30x = 160.28 × 83.50
4. Step 4: Simplify right side
   116.30x = 13,382.56
5. Step 5: Solve for x
   x = 13,382.56/116.30
6. Step 6: Final answer
   x = 115.07