Finding the Fourth Proportional to 2,419.79, 3,629.34 and 776.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,419.79 : 3,629.34 = 776.48 : x
2. Step 2: Convert to fraction form
   2,419.79/3,629.34 = 776.48/x
3. Step 3: Cross multiply
   2,419.79x = 3,629.34 × 776.48
4. Step 4: Simplify right side
   2,419.79x = 2,818,091.78
5. Step 5: Solve for x
   x = 2,818,091.78/2,419.79
6. Step 6: Final answer
   x = 1,164.60