Finding the Fourth Proportional to 6,948.37, 10,411.59 and 3,823.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,948.37 : 10,411.59 = 3,823.78 : x
2. Step 2: Convert to fraction form
   6,948.37/10,411.59 = 3,823.78/x
3. Step 3: Cross multiply
   6,948.37x = 10,411.59 × 3,823.78
4. Step 4: Simplify right side
   6,948.37x = 39,811,629.61
5. Step 5: Solve for x
   x = 39,811,629.61/6,948.37
6. Step 6: Final answer
   x = 5,729.64