Finding the Fourth Proportional to 9,757.98, 14,638.50 and 3,182.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,757.98 : 14,638.50 = 3,182.65 : x
2. Step 2: Convert to fraction form
   9,757.98/14,638.50 = 3,182.65/x
3. Step 3: Cross multiply
   9,757.98x = 14,638.50 × 3,182.65
4. Step 4: Simplify right side
   9,757.98x = 46,589,185.43
5. Step 5: Solve for x
   x = 46,589,185.43/9,757.98
6. Step 6: Final answer
   x = 4,774.47