Finding the Fourth Proportional to 7,846.09, 10,814.60 and 7,638.33

Step by Step Solution

1. Step 1: Write the proportion equation
   7,846.09 : 10,814.60 = 7,638.33 : x
2. Step 2: Convert to fraction form
   7,846.09/10,814.60 = 7,638.33/x
3. Step 3: Cross multiply
   7,846.09x = 10,814.60 × 7,638.33
4. Step 4: Simplify right side
   7,846.09x = 82,605,418.39
5. Step 5: Solve for x
   x = 82,605,418.39/7,846.09
6. Step 6: Final answer
   x = 10,528.22