Finding the Fourth Proportional to 13,838.72, 19,097.16 and 7,551.20

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.72 : 19,097.16 = 7,551.20 : x
2. Step 2: Convert to fraction form
   13,838.72/19,097.16 = 7,551.20/x
3. Step 3: Cross multiply
   13,838.72x = 19,097.16 × 7,551.20
4. Step 4: Simplify right side
   13,838.72x = 144,206,474.59
5. Step 5: Solve for x
   x = 144,206,474.59/13,838.72
6. Step 6: Final answer
   x = 10,420.51