Finding the Fourth Proportional to 2,557.69, 3,835.71 and 825.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.69 : 3,835.71 = 825.91 : x
2. Step 2: Convert to fraction form
   2,557.69/3,835.71 = 825.91/x
3. Step 3: Cross multiply
   2,557.69x = 3,835.71 × 825.91
4. Step 4: Simplify right side
   2,557.69x = 3,167,951.25
5. Step 5: Solve for x
   x = 3,167,951.25/2,557.69
6. Step 6: Final answer
   x = 1,238.60