Finding the Fourth Proportional to 23,408.82, 35,105.90 and 7,822.80

Step by Step Solution

1. Step 1: Write the proportion equation
   23,408.82 : 35,105.90 = 7,822.80 : x
2. Step 2: Convert to fraction form
   23,408.82/35,105.90 = 7,822.80/x
3. Step 3: Cross multiply
   23,408.82x = 35,105.90 × 7,822.80
4. Step 4: Simplify right side
   23,408.82x = 274,626,395.41
5. Step 5: Solve for x
   x = 274,626,395.41/23,408.82
6. Step 6: Final answer
   x = 11,731.75