Finding the Fourth Proportional to 2,769.30, 3,822.09 and 2,105.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,769.30 : 3,822.09 = 2,105.10 : x
2. Step 2: Convert to fraction form
   2,769.30/3,822.09 = 2,105.10/x
3. Step 3: Cross multiply
   2,769.30x = 3,822.09 × 2,105.10
4. Step 4: Simplify right side
   2,769.30x = 8,045,881.66
5. Step 5: Solve for x
   x = 8,045,881.66/2,769.30
6. Step 6: Final answer
   x = 2,905.38