Finding the Fourth Proportional to 3,085.05, 4,627.56 and 776.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,085.05 : 4,627.56 = 776.55 : x
2. Step 2: Convert to fraction form
   3,085.05/4,627.56 = 776.55/x
3. Step 3: Cross multiply
   3,085.05x = 4,627.56 × 776.55
4. Step 4: Simplify right side
   3,085.05x = 3,593,531.72
5. Step 5: Solve for x
   x = 3,593,531.72/3,085.05
6. Step 6: Final answer
   x = 1,164.82