Finding the Fourth Proportional to 9,767.56, 14,645.82 and 3,846.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.56 : 14,645.82 = 3,846.28 : x
2. Step 2: Convert to fraction form
   9,767.56/14,645.82 = 3,846.28/x
3. Step 3: Cross multiply
   9,767.56x = 14,645.82 × 3,846.28
4. Step 4: Simplify right side
   9,767.56x = 56,331,924.55
5. Step 5: Solve for x
   x = 56,331,924.55/9,767.56
6. Step 6: Final answer
   x = 5,767.25