Finding the Fourth Proportional to 2,561.46, 3,842.15 and 830.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.46 : 3,842.15 = 830.09 : x
2. Step 2: Convert to fraction form
   2,561.46/3,842.15 = 830.09/x
3. Step 3: Cross multiply
   2,561.46x = 3,842.15 × 830.09
4. Step 4: Simplify right side
   2,561.46x = 3,189,306.93
5. Step 5: Solve for x
   x = 3,189,306.93/2,561.46
6. Step 6: Final answer
   x = 1,245.11