Finding the Fourth Proportional to 5,806.78, 8,016.69 and 3,823.11

Step by Step Solution

1. Step 1: Write the proportion equation
   5,806.78 : 8,016.69 = 3,823.11 : x
2. Step 2: Convert to fraction form
   5,806.78/8,016.69 = 3,823.11/x
3. Step 3: Cross multiply
   5,806.78x = 8,016.69 × 3,823.11
4. Step 4: Simplify right side
   5,806.78x = 30,648,628.51
5. Step 5: Solve for x
   x = 30,648,628.51/5,806.78
6. Step 6: Final answer
   x = 5,278.07