Finding the Fourth Proportional to 9,759.96, 14,635.08 and 3,185.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,759.96 : 14,635.08 = 3,185.34 : x
2. Step 2: Convert to fraction form
   9,759.96/14,635.08 = 3,185.34/x
3. Step 3: Cross multiply
   9,759.96x = 14,635.08 × 3,185.34
4. Step 4: Simplify right side
   9,759.96x = 46,617,705.73
5. Step 5: Solve for x
   x = 46,617,705.73/9,759.96
6. Step 6: Final answer
   x = 4,776.42