Finding the Fourth Proportional to 2,414.86, 3,621.58 and 770.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414.86 : 3,621.58 = 770.96 : x
2. Step 2: Convert to fraction form
   2,414.86/3,621.58 = 770.96/x
3. Step 3: Cross multiply
   2,414.86x = 3,621.58 × 770.96
4. Step 4: Simplify right side
   2,414.86x = 2,792,100.44
5. Step 5: Solve for x
   x = 2,792,100.44/2,414.86
6. Step 6: Final answer
   x = 1,156.22