Finding the Fourth Proportional to 106.29, 159.59 and 86.83

Step by Step Solution

1. Step 1: Write the proportion equation
   106.29 : 159.59 = 86.83 : x
2. Step 2: Convert to fraction form
   106.29/159.59 = 86.83/x
3. Step 3: Cross multiply
   106.29x = 159.59 × 86.83
4. Step 4: Simplify right side
   106.29x = 13,856.40
5. Step 5: Solve for x
   x = 13,856.40/106.29
6. Step 6: Final answer
   x = 130.36