Finding the Fourth Proportional to 3,797.82, 5,695.29 and 1,822.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,797.82 : 5,695.29 = 1,822.86 : x
2. Step 2: Convert to fraction form
   3,797.82/5,695.29 = 1,822.86/x
3. Step 3: Cross multiply
   3,797.82x = 5,695.29 × 1,822.86
4. Step 4: Simplify right side
   3,797.82x = 10,381,716.33
5. Step 5: Solve for x
   x = 10,381,716.33/3,797.82
6. Step 6: Final answer
   x = 2,733.60