Finding the Fourth Proportional to 6,493.46, 9,738.12 and 2,109.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,493.46 : 9,738.12 = 2,109.86 : x
2. Step 2: Convert to fraction form
   6,493.46/9,738.12 = 2,109.86/x
3. Step 3: Cross multiply
   6,493.46x = 9,738.12 × 2,109.86
4. Step 4: Simplify right side
   6,493.46x = 20,546,069.86
5. Step 5: Solve for x
   x = 20,546,069.86/6,493.46
6. Step 6: Final answer
   x = 3,164.12