Finding the Fourth Proportional to 6,638.00, 9,946.04 and 3,856.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,638.00 : 9,946.04 = 3,856.86 : x
2. Step 2: Convert to fraction form
   6,638.00/9,946.04 = 3,856.86/x
3. Step 3: Cross multiply
   6,638.00x = 9,946.04 × 3,856.86
4. Step 4: Simplify right side
   6,638.00x = 38,360,464.55
5. Step 5: Solve for x
   x = 38,360,464.55/6,638.00
6. Step 6: Final answer
   x = 5,778.92