Finding the Fourth Proportional to 2,510.94, 3,766.38 and 779.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,510.94 : 3,766.38 = 779.58 : x
2. Step 2: Convert to fraction form
   2,510.94/3,766.38 = 779.58/x
3. Step 3: Cross multiply
   2,510.94x = 3,766.38 × 779.58
4. Step 4: Simplify right side
   2,510.94x = 2,936,194.52
5. Step 5: Solve for x
   x = 2,936,194.52/2,510.94
6. Step 6: Final answer
   x = 1,169.36