Finding the Fourth Proportional to 2,074.69, 3,112.98 and 776.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.69 : 3,112.98 = 776.26 : x
2. Step 2: Convert to fraction form
   2,074.69/3,112.98 = 776.26/x
3. Step 3: Cross multiply
   2,074.69x = 3,112.98 × 776.26
4. Step 4: Simplify right side
   2,074.69x = 2,416,481.85
5. Step 5: Solve for x
   x = 2,416,481.85/2,074.69
6. Step 6: Final answer
   x = 1,164.74