Finding the Fourth Proportional to 2,561.40, 3,842.58 and 830.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.40 : 3,842.58 = 830.04 : x
2. Step 2: Convert to fraction form
   2,561.40/3,842.58 = 830.04/x
3. Step 3: Cross multiply
   2,561.40x = 3,842.58 × 830.04
4. Step 4: Simplify right side
   2,561.40x = 3,189,495.10
5. Step 5: Solve for x
   x = 3,189,495.10/2,561.40
6. Step 6: Final answer
   x = 1,245.22