Finding the Fourth Proportional to 6,822.57, 10,233.54 and 1,892.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,822.57 : 10,233.54 = 1,892.10 : x
2. Step 2: Convert to fraction form
   6,822.57/10,233.54 = 1,892.10/x
3. Step 3: Cross multiply
   6,822.57x = 10,233.54 × 1,892.10
4. Step 4: Simplify right side
   6,822.57x = 19,362,881.03
5. Step 5: Solve for x
   x = 19,362,881.03/6,822.57
6. Step 6: Final answer
   x = 2,838.06