Finding the Fourth Proportional to 6,641.16, 9,164.81 and 3,656.93

Step by Step Solution

1. Step 1: Write the proportion equation
   6,641.16 : 9,164.81 = 3,656.93 : x
2. Step 2: Convert to fraction form
   6,641.16/9,164.81 = 3,656.93/x
3. Step 3: Cross multiply
   6,641.16x = 9,164.81 × 3,656.93
4. Step 4: Simplify right side
   6,641.16x = 33,515,004.52
5. Step 5: Solve for x
   x = 33,515,004.52/6,641.16
6. Step 6: Final answer
   x = 5,046.56