Finding the Fourth Proportional to 2,077.61, 3,116.84 and 779.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.61 : 3,116.84 = 779.09 : x
2. Step 2: Convert to fraction form
   2,077.61/3,116.84 = 779.09/x
3. Step 3: Cross multiply
   2,077.61x = 3,116.84 × 779.09
4. Step 4: Simplify right side
   2,077.61x = 2,428,279.40
5. Step 5: Solve for x
   x = 2,428,279.40/2,077.61
6. Step 6: Final answer
   x = 1,168.79