Finding the Fourth Proportional to 9,776.08, 14,665.63 and 3,200.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.08 : 14,665.63 = 3,200.75 : x
2. Step 2: Convert to fraction form
   9,776.08/14,665.63 = 3,200.75/x
3. Step 3: Cross multiply
   9,776.08x = 14,665.63 × 3,200.75
4. Step 4: Simplify right side
   9,776.08x = 46,940,933.89
5. Step 5: Solve for x
   x = 46,940,933.89/9,776.08
6. Step 6: Final answer
   x = 4,801.61