Finding the Fourth Proportional to 7,826, 10,796.64 and 5,136.48

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826 : 10,796.64 = 5,136.48 : x
2. Step 2: Convert to fraction form
   7,826/10,796.64 = 5,136.48/x
3. Step 3: Cross multiply
   7,826x = 10,796.64 × 5,136.48
4. Step 4: Simplify right side
   7,826x = 55,456,725.43
5. Step 5: Solve for x
   x = 55,456,725.43/7,826
6. Step 6: Final answer
   x = 7,086.22