Finding the Fourth Proportional to 2,824.54, 3,895.32 and 1,828.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.54 : 3,895.32 = 1,828.78 : x
2. Step 2: Convert to fraction form
   2,824.54/3,895.32 = 1,828.78/x
3. Step 3: Cross multiply
   2,824.54x = 3,895.32 × 1,828.78
4. Step 4: Simplify right side
   2,824.54x = 7,123,683.31
5. Step 5: Solve for x
   x = 7,123,683.31/2,824.54
6. Step 6: Final answer
   x = 2,522.07