Finding the Fourth Proportional to 9,757.98, 14,636.93 and 3,184.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,757.98 : 14,636.93 = 3,184.14 : x
2. Step 2: Convert to fraction form
   9,757.98/14,636.93 = 3,184.14/x
3. Step 3: Cross multiply
   9,757.98x = 14,636.93 × 3,184.14
4. Step 4: Simplify right side
   9,757.98x = 46,606,018.37
5. Step 5: Solve for x
   x = 46,606,018.37/9,757.98
6. Step 6: Final answer
   x = 4,776.20