Finding the Fourth Proportional to 2,047.10, 2,824.52 and 1,162.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,047.10 : 2,824.52 = 1,162.82 : x
2. Step 2: Convert to fraction form
   2,047.10/2,824.52 = 1,162.82/x
3. Step 3: Cross multiply
   2,047.10x = 2,824.52 × 1,162.82
4. Step 4: Simplify right side
   2,047.10x = 3,284,408.35
5. Step 5: Solve for x
   x = 3,284,408.35/2,047.10
6. Step 6: Final answer
   x = 1,604.42