Finding the Fourth Proportional to 2,074.59, 3,112.35 and 776.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.59 : 3,112.35 = 776.07 : x
2. Step 2: Convert to fraction form
   2,074.59/3,112.35 = 776.07/x
3. Step 3: Cross multiply
   2,074.59x = 3,112.35 × 776.07
4. Step 4: Simplify right side
   2,074.59x = 2,415,401.46
5. Step 5: Solve for x
   x = 2,415,401.46/2,074.59
6. Step 6: Final answer
   x = 1,164.28