Finding the Fourth Proportional to 5,209.40, 7,805.46 and 3,667.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,209.40 : 7,805.46 = 3,667.16 : x
2. Step 2: Convert to fraction form
   5,209.40/7,805.46 = 3,667.16/x
3. Step 3: Cross multiply
   5,209.40x = 7,805.46 × 3,667.16
4. Step 4: Simplify right side
   5,209.40x = 28,623,870.69
5. Step 5: Solve for x
   x = 28,623,870.69/5,209.40
6. Step 6: Final answer
   x = 5,494.66