Finding the Fourth Proportional to 9,758.83, 14,636.75 and 3,185

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.83 : 14,636.75 = 3,185 : x
2. Step 2: Convert to fraction form
   9,758.83/14,636.75 = 3,185/x
3. Step 3: Cross multiply
   9,758.83x = 14,636.75 × 3,185
4. Step 4: Simplify right side
   9,758.83x = 46,618,048.75
5. Step 5: Solve for x
   x = 46,618,048.75/9,758.83
6. Step 6: Final answer
   x = 4,777.01