Finding the Fourth Proportional to 6,667.49, 9,202.25 and 3,874.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,667.49 : 9,202.25 = 3,874.61 : x
2. Step 2: Convert to fraction form
   6,667.49/9,202.25 = 3,874.61/x
3. Step 3: Cross multiply
   6,667.49x = 9,202.25 × 3,874.61
4. Step 4: Simplify right side
   6,667.49x = 35,655,093.55
5. Step 5: Solve for x
   x = 35,655,093.55/6,667.49
6. Step 6: Final answer
   x = 5,347.61