Finding the Fourth Proportional to 10,072, 15,105.54 and 3,832.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 15,105.54 = 3,832.72 : x
2. Step 2: Convert to fraction form
   10,072/15,105.54 = 3,832.72/x
3. Step 3: Cross multiply
   10,072x = 15,105.54 × 3,832.72
4. Step 4: Simplify right side
   10,072x = 57,895,305.27
5. Step 5: Solve for x
   x = 57,895,305.27/10,072
6. Step 6: Final answer
   x = 5,748.14