Finding the Fourth Proportional to 10,384.12, 15,578.61 and 3,811.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.12 : 15,578.61 = 3,811.78 : x
2. Step 2: Convert to fraction form
   10,384.12/15,578.61 = 3,811.78/x
3. Step 3: Cross multiply
   10,384.12x = 15,578.61 × 3,811.78
4. Step 4: Simplify right side
   10,384.12x = 59,382,234.03
5. Step 5: Solve for x
   x = 59,382,234.03/10,384.12
6. Step 6: Final answer
   x = 5,718.56