Finding the Fourth Proportional to 116.37, 160.47 and 83.52

Step by Step Solution

1. Step 1: Write the proportion equation
   116.37 : 160.47 = 83.52 : x
2. Step 2: Convert to fraction form
   116.37/160.47 = 83.52/x
3. Step 3: Cross multiply
   116.37x = 160.47 × 83.52
4. Step 4: Simplify right side
   116.37x = 13,402.45
5. Step 5: Solve for x
   x = 13,402.45/116.37
6. Step 6: Final answer
   x = 115.17