Finding the Fourth Proportional to 116.41, 160.71 and 83.82

Step by Step Solution

1. Step 1: Write the proportion equation
   116.41 : 160.71 = 83.82 : x
2. Step 2: Convert to fraction form
   116.41/160.71 = 83.82/x
3. Step 3: Cross multiply
   116.41x = 160.71 × 83.82
4. Step 4: Simplify right side
   116.41x = 13,470.71
5. Step 5: Solve for x
   x = 13,470.71/116.41
6. Step 6: Final answer
   x = 115.72