Finding the Fourth Proportional to 2,822.29, 3,892.21 and 1,826.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,822.29 : 3,892.21 = 1,826.53 : x
2. Step 2: Convert to fraction form
   2,822.29/3,892.21 = 1,826.53/x
3. Step 3: Cross multiply
   2,822.29x = 3,892.21 × 1,826.53
4. Step 4: Simplify right side
   2,822.29x = 7,109,238.33
5. Step 5: Solve for x
   x = 7,109,238.33/2,822.29
6. Step 6: Final answer
   x = 2,518.96