Finding the Fourth Proportional to 6,642.69, 9,166.54 and 3,657.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,642.69 : 9,166.54 = 3,657.96 : x
2. Step 2: Convert to fraction form
   6,642.69/9,166.54 = 3,657.96/x
3. Step 3: Cross multiply
   6,642.69x = 9,166.54 × 3,657.96
4. Step 4: Simplify right side
   6,642.69x = 33,530,790.83
5. Step 5: Solve for x
   x = 33,530,790.83/6,642.69
6. Step 6: Final answer
   x = 5,047.78