Finding the Fourth Proportional to 2,585.37, 3,878.31 and 830.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.37 : 3,878.31 = 830.41 : x
2. Step 2: Convert to fraction form
   2,585.37/3,878.31 = 830.41/x
3. Step 3: Cross multiply
   2,585.37x = 3,878.31 × 830.41
4. Step 4: Simplify right side
   2,585.37x = 3,220,580.83
5. Step 5: Solve for x
   x = 3,220,580.83/2,585.37
6. Step 6: Final answer
   x = 1,245.69