Finding the Fourth Proportional to 3,656.94, 5,046.06 and 2,164.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,656.94 : 5,046.06 = 2,164.61 : x
2. Step 2: Convert to fraction form
   3,656.94/5,046.06 = 2,164.61/x
3. Step 3: Cross multiply
   3,656.94x = 5,046.06 × 2,164.61
4. Step 4: Simplify right side
   3,656.94x = 10,922,751.94
5. Step 5: Solve for x
   x = 10,922,751.94/3,656.94
6. Step 6: Final answer
   x = 2,986.86