Finding the Fourth Proportional to 3,667.65, 5,498.74 and 2,206.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,667.65 : 5,498.74 = 2,206.46 : x
2. Step 2: Convert to fraction form
   3,667.65/5,498.74 = 2,206.46/x
3. Step 3: Cross multiply
   3,667.65x = 5,498.74 × 2,206.46
4. Step 4: Simplify right side
   3,667.65x = 12,132,723.02
5. Step 5: Solve for x
   x = 12,132,723.02/3,667.65
6. Step 6: Final answer
   x = 3,308.04