Finding the Fourth Proportional to 72.86, 109.18 and 31.67

Step by Step Solution

1. Step 1: Write the proportion equation
   72.86 : 109.18 = 31.67 : x
2. Step 2: Convert to fraction form
   72.86/109.18 = 31.67/x
3. Step 3: Cross multiply
   72.86x = 109.18 × 31.67
4. Step 4: Simplify right side
   72.86x = 3,457.92
5. Step 5: Solve for x
   x = 3,457.92/72.86
6. Step 6: Final answer
   x = 47.46