Finding the Fourth Proportional to 2,419.21, 3,627.39 and 774.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,419.21 : 3,627.39 = 774.91 : x
2. Step 2: Convert to fraction form
   2,419.21/3,627.39 = 774.91/x
3. Step 3: Cross multiply
   2,419.21x = 3,627.39 × 774.91
4. Step 4: Simplify right side
   2,419.21x = 2,810,878.77
5. Step 5: Solve for x
   x = 2,810,878.77/2,419.21
6. Step 6: Final answer
   x = 1,161.90