Finding the Fourth Proportional to 6,164.82, 9,243.71 and 3,667.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164.82 : 9,243.71 = 3,667.06 : x
2. Step 2: Convert to fraction form
   6,164.82/9,243.71 = 3,667.06/x
3. Step 3: Cross multiply
   6,164.82x = 9,243.71 × 3,667.06
4. Step 4: Simplify right side
   6,164.82x = 33,897,239.19
5. Step 5: Solve for x
   x = 33,897,239.19/6,164.82
6. Step 6: Final answer
   x = 5,498.50