Finding the Fourth Proportional to 3,584.72, 4,946.91 and 2,012.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,584.72 : 4,946.91 = 2,012.82 : x
2. Step 2: Convert to fraction form
   3,584.72/4,946.91 = 2,012.82/x
3. Step 3: Cross multiply
   3,584.72x = 4,946.91 × 2,012.82
4. Step 4: Simplify right side
   3,584.72x = 9,957,239.39
5. Step 5: Solve for x
   x = 9,957,239.39/3,584.72
6. Step 6: Final answer
   x = 2,777.69