Finding the Fourth Proportional to 13,838.78, 19,097.57 and 7,551.16

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.78 : 19,097.57 = 7,551.16 : x
2. Step 2: Convert to fraction form
   13,838.78/19,097.57 = 7,551.16/x
3. Step 3: Cross multiply
   13,838.78x = 19,097.57 × 7,551.16
4. Step 4: Simplify right side
   13,838.78x = 144,208,777.82
5. Step 5: Solve for x
   x = 144,208,777.82/13,838.78
6. Step 6: Final answer
   x = 10,420.63