Finding the Fourth Proportional to 10,846.80, 16,266.15 and 3,824.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,846.80 : 16,266.15 = 3,824.10 : x
2. Step 2: Convert to fraction form
   10,846.80/16,266.15 = 3,824.10/x
3. Step 3: Cross multiply
   10,846.80x = 16,266.15 × 3,824.10
4. Step 4: Simplify right side
   10,846.80x = 62,203,384.22
5. Step 5: Solve for x
   x = 62,203,384.22/10,846.80
6. Step 6: Final answer
   x = 5,734.72