Finding the Fourth Proportional to 2,561.84, 3,843.38 and 830.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.84 : 3,843.38 = 830.46 : x
2. Step 2: Convert to fraction form
   2,561.84/3,843.38 = 830.46/x
3. Step 3: Cross multiply
   2,561.84x = 3,843.38 × 830.46
4. Step 4: Simplify right side
   2,561.84x = 3,191,773.35
5. Step 5: Solve for x
   x = 3,191,773.35/2,561.84
6. Step 6: Final answer
   x = 1,245.89