Finding the Fourth Proportional to 72.69, 109.06 and 32.11

Step by Step Solution

1. Step 1: Write the proportion equation
   72.69 : 109.06 = 32.11 : x
2. Step 2: Convert to fraction form
   72.69/109.06 = 32.11/x
3. Step 3: Cross multiply
   72.69x = 109.06 × 32.11
4. Step 4: Simplify right side
   72.69x = 3,501.56
5. Step 5: Solve for x
   x = 3,501.56/72.69
6. Step 6: Final answer
   x = 48.17