Finding the Fourth Proportional to 2,824.25, 3,896.56 and 1,830.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.25 : 3,896.56 = 1,830.29 : x
2. Step 2: Convert to fraction form
   2,824.25/3,896.56 = 1,830.29/x
3. Step 3: Cross multiply
   2,824.25x = 3,896.56 × 1,830.29
4. Step 4: Simplify right side
   2,824.25x = 7,131,834.80
5. Step 5: Solve for x
   x = 7,131,834.80/2,824.25
6. Step 6: Final answer
   x = 2,525.21