Finding the Fourth Proportional to 6,641.01, 9,164.67 and 3,656.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,641.01 : 9,164.67 = 3,656.82 : x
2. Step 2: Convert to fraction form
   6,641.01/9,164.67 = 3,656.82/x
3. Step 3: Cross multiply
   6,641.01x = 9,164.67 × 3,656.82
4. Step 4: Simplify right side
   6,641.01x = 33,513,548.55
5. Step 5: Solve for x
   x = 33,513,548.55/6,641.01
6. Step 6: Final answer
   x = 5,046.45