Finding the Fourth Proportional to 6,298.12, 9,446.52 and 2,138.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,298.12 : 9,446.52 = 2,138.02 : x
2. Step 2: Convert to fraction form
   6,298.12/9,446.52 = 2,138.02/x
3. Step 3: Cross multiply
   6,298.12x = 9,446.52 × 2,138.02
4. Step 4: Simplify right side
   6,298.12x = 20,196,848.69
5. Step 5: Solve for x
   x = 20,196,848.69/6,298.12
6. Step 6: Final answer
   x = 3,206.81