Finding the Fourth Proportional to 10,771.84, 16,155.06 and 3,846.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,771.84 : 16,155.06 = 3,846.40 : x
2. Step 2: Convert to fraction form
   10,771.84/16,155.06 = 3,846.40/x
3. Step 3: Cross multiply
   10,771.84x = 16,155.06 × 3,846.40
4. Step 4: Simplify right side
   10,771.84x = 62,138,822.78
5. Step 5: Solve for x
   x = 62,138,822.78/10,771.84
6. Step 6: Final answer
   x = 5,768.64