Finding the Fourth Proportional to 13,872, 20,795.52 and 5,100.72

Step by Step Solution

1. Step 1: Write the proportion equation
   13,872 : 20,795.52 = 5,100.72 : x
2. Step 2: Convert to fraction form
   13,872/20,795.52 = 5,100.72/x
3. Step 3: Cross multiply
   13,872x = 20,795.52 × 5,100.72
4. Step 4: Simplify right side
   13,872x = 106,072,124.77
5. Step 5: Solve for x
   x = 106,072,124.77/13,872
6. Step 6: Final answer
   x = 7,646.49