Finding the Fourth Proportional to 2,414.15, 3,621.91 and 770.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414.15 : 3,621.91 = 770.82 : x
2. Step 2: Convert to fraction form
   2,414.15/3,621.91 = 770.82/x
3. Step 3: Cross multiply
   2,414.15x = 3,621.91 × 770.82
4. Step 4: Simplify right side
   2,414.15x = 2,791,836.81
5. Step 5: Solve for x
   x = 2,791,836.81/2,414.15
6. Step 6: Final answer
   x = 1,156.45