Finding the Fourth Proportional to 6,643.16, 9,959.86 and 3,182.84

Step by Step Solution

1. Step 1: Write the proportion equation
   6,643.16 : 9,959.86 = 3,182.84 : x
2. Step 2: Convert to fraction form
   6,643.16/9,959.86 = 3,182.84/x
3. Step 3: Cross multiply
   6,643.16x = 9,959.86 × 3,182.84
4. Step 4: Simplify right side
   6,643.16x = 31,700,640.80
5. Step 5: Solve for x
   x = 31,700,640.80/6,643.16
6. Step 6: Final answer
   x = 4,771.92