Finding the Fourth Proportional to 10,404.78, 15,596.10 and 5,141.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404.78 : 15,596.10 = 5,141.40 : x
2. Step 2: Convert to fraction form
   10,404.78/15,596.10 = 5,141.40/x
3. Step 3: Cross multiply
   10,404.78x = 15,596.10 × 5,141.40
4. Step 4: Simplify right side
   10,404.78x = 80,185,788.54
5. Step 5: Solve for x
   x = 80,185,788.54/10,404.78
6. Step 6: Final answer
   x = 7,706.63