Finding the Fourth Proportional to 6,667.82, 9,201.46 and 3,683.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,667.82 : 9,201.46 = 3,683.63 : x
2. Step 2: Convert to fraction form
   6,667.82/9,201.46 = 3,683.63/x
3. Step 3: Cross multiply
   6,667.82x = 9,201.46 × 3,683.63
4. Step 4: Simplify right side
   6,667.82x = 33,894,718.88
5. Step 5: Solve for x
   x = 33,894,718.88/6,667.82
6. Step 6: Final answer
   x = 5,083.33