Finding the Fourth Proportional to 3,906.12, 5,809.02 and 3,783.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,906.12 : 5,809.02 = 3,783.09 : x
2. Step 2: Convert to fraction form
   3,906.12/5,809.02 = 3,783.09/x
3. Step 3: Cross multiply
   3,906.12x = 5,809.02 × 3,783.09
4. Step 4: Simplify right side
   3,906.12x = 21,976,045.47
5. Step 5: Solve for x
   x = 21,976,045.47/3,906.12
6. Step 6: Final answer
   x = 5,626.05