Finding the Fourth Proportional to 2,559.58, 3,840.09 and 828.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.58 : 3,840.09 = 828.34 : x
2. Step 2: Convert to fraction form
   2,559.58/3,840.09 = 828.34/x
3. Step 3: Cross multiply
   2,559.58x = 3,840.09 × 828.34
4. Step 4: Simplify right side
   2,559.58x = 3,180,900.15
5. Step 5: Solve for x
   x = 3,180,900.15/2,559.58
6. Step 6: Final answer
   x = 1,242.74