Finding the Fourth Proportional to 2,807.82, 4,211.69 and 727.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,807.82 : 4,211.69 = 727.65 : x
2. Step 2: Convert to fraction form
   2,807.82/4,211.69 = 727.65/x
3. Step 3: Cross multiply
   2,807.82x = 4,211.69 × 727.65
4. Step 4: Simplify right side
   2,807.82x = 3,064,632.59
5. Step 5: Solve for x
   x = 3,064,632.59/2,807.82
6. Step 6: Final answer
   x = 1,091.46