Finding the Fourth Proportional to 2,778.63, 4,168.17 and 830.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,778.63 : 4,168.17 = 830.81 : x
2. Step 2: Convert to fraction form
   2,778.63/4,168.17 = 830.81/x
3. Step 3: Cross multiply
   2,778.63x = 4,168.17 × 830.81
4. Step 4: Simplify right side
   2,778.63x = 3,462,936.48
5. Step 5: Solve for x
   x = 3,462,936.48/2,778.63
6. Step 6: Final answer
   x = 1,246.27