Finding the Fourth Proportional to 2,824.42, 3,898.16 and 1,832.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.42 : 3,898.16 = 1,832.57 : x
2. Step 2: Convert to fraction form
   2,824.42/3,898.16 = 1,832.57/x
3. Step 3: Cross multiply
   2,824.42x = 3,898.16 × 1,832.57
4. Step 4: Simplify right side
   2,824.42x = 7,143,665.83
5. Step 5: Solve for x
   x = 7,143,665.83/2,824.42
6. Step 6: Final answer
   x = 2,529.25