Finding the Fourth Proportional to 6,667.75, 9,201.50 and 3,683.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,667.75 : 9,201.50 = 3,683.59 : x
2. Step 2: Convert to fraction form
   6,667.75/9,201.50 = 3,683.59/x
3. Step 3: Cross multiply
   6,667.75x = 9,201.50 × 3,683.59
4. Step 4: Simplify right side
   6,667.75x = 33,894,577.54
5. Step 5: Solve for x
   x = 33,894,577.54/6,667.75
6. Step 6: Final answer
   x = 5,083.36