Finding the Fourth Proportional to 152.82, 210.89 and 86.42

Step by Step Solution

1. Step 1: Write the proportion equation
   152.82 : 210.89 = 86.42 : x
2. Step 2: Convert to fraction form
   152.82/210.89 = 86.42/x
3. Step 3: Cross multiply
   152.82x = 210.89 × 86.42
4. Step 4: Simplify right side
   152.82x = 18,225.86
5. Step 5: Solve for x
   x = 18,225.86/152.82
6. Step 6: Final answer
   x = 119.26