Finding the Fourth Proportional to 10,647.60, 15,974.16 and 5,105.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,647.60 : 15,974.16 = 5,105.22 : x
2. Step 2: Convert to fraction form
   10,647.60/15,974.16 = 5,105.22/x
3. Step 3: Cross multiply
   10,647.60x = 15,974.16 × 5,105.22
4. Step 4: Simplify right side
   10,647.60x = 81,551,601.12
5. Step 5: Solve for x
   x = 81,551,601.12/10,647.60
6. Step 6: Final answer
   x = 7,659.15