Finding the Fourth Proportional to 116.57, 174.89 and 105.86

Step by Step Solution

1. Step 1: Write the proportion equation
   116.57 : 174.89 = 105.86 : x
2. Step 2: Convert to fraction form
   116.57/174.89 = 105.86/x
3. Step 3: Cross multiply
   116.57x = 174.89 × 105.86
4. Step 4: Simplify right side
   116.57x = 18,513.86
5. Step 5: Solve for x
   x = 18,513.86/116.57
6. Step 6: Final answer
   x = 158.82