Finding the Fourth Proportional to 9,774.78, 14,661.69 and 3,204.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.78 : 14,661.69 = 3,204.06 : x
2. Step 2: Convert to fraction form
   9,774.78/14,661.69 = 3,204.06/x
3. Step 3: Cross multiply
   9,774.78x = 14,661.69 × 3,204.06
4. Step 4: Simplify right side
   9,774.78x = 46,976,934.46
5. Step 5: Solve for x
   x = 46,976,934.46/9,774.78
6. Step 6: Final answer
   x = 4,805.93