Finding the Fourth Proportional to 6,422.81, 9,627.64 and 3,643.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,422.81 : 9,627.64 = 3,643.61 : x
2. Step 2: Convert to fraction form
   6,422.81/9,627.64 = 3,643.61/x
3. Step 3: Cross multiply
   6,422.81x = 9,627.64 × 3,643.61
4. Step 4: Simplify right side
   6,422.81x = 35,079,333.83
5. Step 5: Solve for x
   x = 35,079,333.83/6,422.81
6. Step 6: Final answer
   x = 5,461.68