Finding the Fourth Proportional to 9,778.56, 14,667.96 and 3,204.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.56 : 14,667.96 = 3,204.81 : x
2. Step 2: Convert to fraction form
   9,778.56/14,667.96 = 3,204.81/x
3. Step 3: Cross multiply
   9,778.56x = 14,667.96 × 3,204.81
4. Step 4: Simplify right side
   9,778.56x = 47,008,024.89
5. Step 5: Solve for x
   x = 47,008,024.89/9,778.56
6. Step 6: Final answer
   x = 4,807.25