Finding the Fourth Proportional to 3,827.33, 5,735.47 and 2,180.39

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.33 : 5,735.47 = 2,180.39 : x
2. Step 2: Convert to fraction form
   3,827.33/5,735.47 = 2,180.39/x
3. Step 3: Cross multiply
   3,827.33x = 5,735.47 × 2,180.39
4. Step 4: Simplify right side
   3,827.33x = 12,505,561.43
5. Step 5: Solve for x
   x = 12,505,561.43/3,827.33
6. Step 6: Final answer
   x = 3,267.44