Finding the Fourth Proportional to 6,142.05, 9,213.09 and 3,667.98

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.05 : 9,213.09 = 3,667.98 : x
2. Step 2: Convert to fraction form
   6,142.05/9,213.09 = 3,667.98/x
3. Step 3: Cross multiply
   6,142.05x = 9,213.09 × 3,667.98
4. Step 4: Simplify right side
   6,142.05x = 33,793,429.86
5. Step 5: Solve for x
   x = 33,793,429.86/6,142.05
6. Step 6: Final answer
   x = 5,501.98