Finding the Fourth Proportional to 7,822.95, 11,738.12 and 3,930.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,822.95 : 11,738.12 = 3,930.09 : x
2. Step 2: Convert to fraction form
   7,822.95/11,738.12 = 3,930.09/x
3. Step 3: Cross multiply
   7,822.95x = 11,738.12 × 3,930.09
4. Step 4: Simplify right side
   7,822.95x = 46,131,848.38
5. Step 5: Solve for x
   x = 46,131,848.38/7,822.95
6. Step 6: Final answer
   x = 5,896.99