Finding the Fourth Proportional to 2,385.71, 3,578.73 and 825.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.71 : 3,578.73 = 825.87 : x
2. Step 2: Convert to fraction form
   2,385.71/3,578.73 = 825.87/x
3. Step 3: Cross multiply
   2,385.71x = 3,578.73 × 825.87
4. Step 4: Simplify right side
   2,385.71x = 2,955,543.72
5. Step 5: Solve for x
   x = 2,955,543.72/2,385.71
6. Step 6: Final answer
   x = 1,238.85