Finding the Fourth Proportional to 2,410.68, 3,614.78 and 766.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,410.68 : 3,614.78 = 766.78 : x
2. Step 2: Convert to fraction form
   2,410.68/3,614.78 = 766.78/x
3. Step 3: Cross multiply
   2,410.68x = 3,614.78 × 766.78
4. Step 4: Simplify right side
   2,410.68x = 2,771,741.01
5. Step 5: Solve for x
   x = 2,771,741.01/2,410.68
6. Step 6: Final answer
   x = 1,149.78