Finding the Fourth Proportional to 2,077.49, 3,116.86 and 779.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.49 : 3,116.86 = 779.06 : x
2. Step 2: Convert to fraction form
   2,077.49/3,116.86 = 779.06/x
3. Step 3: Cross multiply
   2,077.49x = 3,116.86 × 779.06
4. Step 4: Simplify right side
   2,077.49x = 2,428,226.80
5. Step 5: Solve for x
   x = 2,428,226.80/2,077.49
6. Step 6: Final answer
   x = 1,168.83