Finding the Fourth Proportional to 2,078.35, 3,116.09 and 779.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078.35 : 3,116.09 = 779.47 : x
2. Step 2: Convert to fraction form
   2,078.35/3,116.09 = 779.47/x
3. Step 3: Cross multiply
   2,078.35x = 3,116.09 × 779.47
4. Step 4: Simplify right side
   2,078.35x = 2,428,894.77
5. Step 5: Solve for x
   x = 2,428,894.77/2,078.35
6. Step 6: Final answer
   x = 1,168.66