Finding the Fourth Proportional to 9,778.12, 14,656.38 and 3,850.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.12 : 14,656.38 = 3,850.60 : x
2. Step 2: Convert to fraction form
   9,778.12/14,656.38 = 3,850.60/x
3. Step 3: Cross multiply
   9,778.12x = 14,656.38 × 3,850.60
4. Step 4: Simplify right side
   9,778.12x = 56,435,856.83
5. Step 5: Solve for x
   x = 56,435,856.83/9,778.12
6. Step 6: Final answer
   x = 5,771.65