Finding the Fourth Proportional to 2,562.84, 3,841.83 and 830.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.84 : 3,841.83 = 830.25 : x
2. Step 2: Convert to fraction form
   2,562.84/3,841.83 = 830.25/x
3. Step 3: Cross multiply
   2,562.84x = 3,841.83 × 830.25
4. Step 4: Simplify right side
   2,562.84x = 3,189,679.36
5. Step 5: Solve for x
   x = 3,189,679.36/2,562.84
6. Step 6: Final answer
   x = 1,244.59