Finding the Fourth Proportional to 2,077.29, 3,116.34 and 779.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.29 : 3,116.34 = 779.67 : x
2. Step 2: Convert to fraction form
   2,077.29/3,116.34 = 779.67/x
3. Step 3: Cross multiply
   2,077.29x = 3,116.34 × 779.67
4. Step 4: Simplify right side
   2,077.29x = 2,429,716.81
5. Step 5: Solve for x
   x = 2,429,716.81/2,077.29
6. Step 6: Final answer
   x = 1,169.66