Finding the Fourth Proportional to 13,106, 19,662.24 and 3,872

Step by Step Solution

1. Step 1: Write the proportion equation
   13,106 : 19,662.24 = 3,872 : x
2. Step 2: Convert to fraction form
   13,106/19,662.24 = 3,872/x
3. Step 3: Cross multiply
   13,106x = 19,662.24 × 3,872
4. Step 4: Simplify right side
   13,106x = 76,132,193.28
5. Step 5: Solve for x
   x = 76,132,193.28/13,106
6. Step 6: Final answer
   x = 5,808.96