Finding the Fourth Proportional to 2,562.10, 3,843.75 and 830.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.10 : 3,843.75 = 830.72 : x
2. Step 2: Convert to fraction form
   2,562.10/3,843.75 = 830.72/x
3. Step 3: Cross multiply
   2,562.10x = 3,843.75 × 830.72
4. Step 4: Simplify right side
   2,562.10x = 3,193,089.61
5. Step 5: Solve for x
   x = 3,193,089.61/2,562.10
6. Step 6: Final answer
   x = 1,246.28