Finding the Fourth Proportional to 3,851.92, 5,779.94 and 3,783.28

Step by Step Solution

1. Step 1: Write the proportion equation
   3,851.92 : 5,779.94 = 3,783.28 : x
2. Step 2: Convert to fraction form
   3,851.92/5,779.94 = 3,783.28/x
3. Step 3: Cross multiply
   3,851.92x = 5,779.94 × 3,783.28
4. Step 4: Simplify right side
   3,851.92x = 21,867,131.40
5. Step 5: Solve for x
   x = 21,867,131.40/3,851.92
6. Step 6: Final answer
   x = 5,676.94