Finding the Fourth Proportional to 6,504.50, 9,745.72 and 4,646.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,504.50 : 9,745.72 = 4,646.16 : x
2. Step 2: Convert to fraction form
   6,504.50/9,745.72 = 4,646.16/x
3. Step 3: Cross multiply
   6,504.50x = 9,745.72 × 4,646.16
4. Step 4: Simplify right side
   6,504.50x = 45,280,162.82
5. Step 5: Solve for x
   x = 45,280,162.82/6,504.50
6. Step 6: Final answer
   x = 6,961.36