Finding the Fourth Proportional to 6,641.44, 9,164.82 and 3,656.71

Step by Step Solution

1. Step 1: Write the proportion equation
   6,641.44 : 9,164.82 = 3,656.71 : x
2. Step 2: Convert to fraction form
   6,641.44/9,164.82 = 3,656.71/x
3. Step 3: Cross multiply
   6,641.44x = 9,164.82 × 3,656.71
4. Step 4: Simplify right side
   6,641.44x = 33,513,024.83
5. Step 5: Solve for x
   x = 33,513,024.83/6,641.44
6. Step 6: Final answer
   x = 5,046.05