Finding the Fourth Proportional to 9,759.82, 14,640.54 and 3,185.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,759.82 : 14,640.54 = 3,185.86 : x
2. Step 2: Convert to fraction form
   9,759.82/14,640.54 = 3,185.86/x
3. Step 3: Cross multiply
   9,759.82x = 14,640.54 × 3,185.86
4. Step 4: Simplify right side
   9,759.82x = 46,642,710.76
5. Step 5: Solve for x
   x = 46,642,710.76/9,759.82
6. Step 6: Final answer
   x = 4,779.05