Finding the Fourth Proportional to 10,736.12, 16,105.80 and 3,809

Step by Step Solution

1. Step 1: Write the proportion equation
   10,736.12 : 16,105.80 = 3,809 : x
2. Step 2: Convert to fraction form
   10,736.12/16,105.80 = 3,809/x
3. Step 3: Cross multiply
   10,736.12x = 16,105.80 × 3,809
4. Step 4: Simplify right side
   10,736.12x = 61,346,992.20
5. Step 5: Solve for x
   x = 61,346,992.20/10,736.12
6. Step 6: Final answer
   x = 5,714.07