Finding the Fourth Proportional to 3,914.09, 5,866.89 and 1,832.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914.09 : 5,866.89 = 1,832.80 : x
2. Step 2: Convert to fraction form
   3,914.09/5,866.89 = 1,832.80/x
3. Step 3: Cross multiply
   3,914.09x = 5,866.89 × 1,832.80
4. Step 4: Simplify right side
   3,914.09x = 10,752,814.45
5. Step 5: Solve for x
   x = 10,752,814.45/3,914.09
6. Step 6: Final answer
   x = 2,747.20