Finding the Fourth Proportional to 13,096, 19,648.32 and 5,300.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096 : 19,648.32 = 5,300.56 : x
2. Step 2: Convert to fraction form
   13,096/19,648.32 = 5,300.56/x
3. Step 3: Cross multiply
   13,096x = 19,648.32 × 5,300.56
4. Step 4: Simplify right side
   13,096x = 104,147,099.06
5. Step 5: Solve for x
   x = 104,147,099.06/13,096
6. Step 6: Final answer
   x = 7,952.59