Finding the Fourth Proportional to 13,796.96, 19,039.32 and 7,509.20

Step by Step Solution

1. Step 1: Write the proportion equation
   13,796.96 : 19,039.32 = 7,509.20 : x
2. Step 2: Convert to fraction form
   13,796.96/19,039.32 = 7,509.20/x
3. Step 3: Cross multiply
   13,796.96x = 19,039.32 × 7,509.20
4. Step 4: Simplify right side
   13,796.96x = 142,970,061.74
5. Step 5: Solve for x
   x = 142,970,061.74/13,796.96
6. Step 6: Final answer
   x = 10,362.43