Finding the Fourth Proportional to 4,091.94, 5,646.89 and 2,323.82

Step by Step Solution

1. Step 1: Write the proportion equation
   4,091.94 : 5,646.89 = 2,323.82 : x
2. Step 2: Convert to fraction form
   4,091.94/5,646.89 = 2,323.82/x
3. Step 3: Cross multiply
   4,091.94x = 5,646.89 × 2,323.82
4. Step 4: Simplify right side
   4,091.94x = 13,122,355.92
5. Step 5: Solve for x
   x = 13,122,355.92/4,091.94
6. Step 6: Final answer
   x = 3,206.88