Finding the Fourth Proportional to 6,627.96, 9,146.61 and 3,643.98

Step by Step Solution

1. Step 1: Write the proportion equation
   6,627.96 : 9,146.61 = 3,643.98 : x
2. Step 2: Convert to fraction form
   6,627.96/9,146.61 = 3,643.98/x
3. Step 3: Cross multiply
   6,627.96x = 9,146.61 × 3,643.98
4. Step 4: Simplify right side
   6,627.96x = 33,330,045.69
5. Step 5: Solve for x
   x = 33,330,045.69/6,627.96
6. Step 6: Final answer
   x = 5,028.71