Finding the Fourth Proportional to 2,778.50, 4,168.41 and 830.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,778.50 : 4,168.41 = 830.75 : x
2. Step 2: Convert to fraction form
   2,778.50/4,168.41 = 830.75/x
3. Step 3: Cross multiply
   2,778.50x = 4,168.41 × 830.75
4. Step 4: Simplify right side
   2,778.50x = 3,462,906.61
5. Step 5: Solve for x
   x = 3,462,906.61/2,778.50
6. Step 6: Final answer
   x = 1,246.32