Finding the Fourth Proportional to 2,823.57, 3,897.17 and 1,645.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,823.57 : 3,897.17 = 1,645.34 : x
2. Step 2: Convert to fraction form
   2,823.57/3,897.17 = 1,645.34/x
3. Step 3: Cross multiply
   2,823.57x = 3,897.17 × 1,645.34
4. Step 4: Simplify right side
   2,823.57x = 6,412,141.98
5. Step 5: Solve for x
   x = 6,412,141.98/2,823.57
6. Step 6: Final answer
   x = 2,270.93