Finding the Fourth Proportional to 13,096.09, 19,644.56 and 5,200.07

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096.09 : 19,644.56 = 5,200.07 : x
2. Step 2: Convert to fraction form
   13,096.09/19,644.56 = 5,200.07/x
3. Step 3: Cross multiply
   13,096.09x = 19,644.56 × 5,200.07
4. Step 4: Simplify right side
   13,096.09x = 102,153,087.12
5. Step 5: Solve for x
   x = 102,153,087.12/13,096.09
6. Step 6: Final answer
   x = 7,800.27