Finding the Fourth Proportional to 6,002.10, 9,005.85 and 2,109.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,002.10 : 9,005.85 = 2,109.30 : x
2. Step 2: Convert to fraction form
   6,002.10/9,005.85 = 2,109.30/x
3. Step 3: Cross multiply
   6,002.10x = 9,005.85 × 2,109.30
4. Step 4: Simplify right side
   6,002.10x = 18,996,039.41
5. Step 5: Solve for x
   x = 18,996,039.41/6,002.10
6. Step 6: Final answer
   x = 3,164.90