Finding the Fourth Proportional to 2,385.30, 3,578.52 and 825.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.30 : 3,578.52 = 825.24 : x
2. Step 2: Convert to fraction form
   2,385.30/3,578.52 = 825.24/x
3. Step 3: Cross multiply
   2,385.30x = 3,578.52 × 825.24
4. Step 4: Simplify right side
   2,385.30x = 2,953,137.84
5. Step 5: Solve for x
   x = 2,953,137.84/2,385.30
6. Step 6: Final answer
   x = 1,238.06