Finding the Fourth Proportional to 9,759.34, 14,640.90 and 3,183.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,759.34 : 14,640.90 = 3,183.76 : x
2. Step 2: Convert to fraction form
   9,759.34/14,640.90 = 3,183.76/x
3. Step 3: Cross multiply
   9,759.34x = 14,640.90 × 3,183.76
4. Step 4: Simplify right side
   9,759.34x = 46,613,111.78
5. Step 5: Solve for x
   x = 46,613,111.78/9,759.34
6. Step 6: Final answer
   x = 4,776.26