Finding the Fourth Proportional to 2,562.30, 3,842.18 and 830.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.30 : 3,842.18 = 830.70 : x
2. Step 2: Convert to fraction form
   2,562.30/3,842.18 = 830.70/x
3. Step 3: Cross multiply
   2,562.30x = 3,842.18 × 830.70
4. Step 4: Simplify right side
   2,562.30x = 3,191,698.93
5. Step 5: Solve for x
   x = 3,191,698.93/2,562.30
6. Step 6: Final answer
   x = 1,245.64