Finding the Fourth Proportional to 2,419.67, 3,629.85 and 776.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,419.67 : 3,629.85 = 776.72 : x
2. Step 2: Convert to fraction form
   2,419.67/3,629.85 = 776.72/x
3. Step 3: Cross multiply
   2,419.67x = 3,629.85 × 776.72
4. Step 4: Simplify right side
   2,419.67x = 2,819,383.25
5. Step 5: Solve for x
   x = 2,819,383.25/2,419.67
6. Step 6: Final answer
   x = 1,165.19