Finding the Fourth Proportional to 2,408.16, 3,610.76 and 764.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,408.16 : 3,610.76 = 764.24 : x
2. Step 2: Convert to fraction form
   2,408.16/3,610.76 = 764.24/x
3. Step 3: Cross multiply
   2,408.16x = 3,610.76 × 764.24
4. Step 4: Simplify right side
   2,408.16x = 2,759,487.22
5. Step 5: Solve for x
   x = 2,759,487.22/2,408.16
6. Step 6: Final answer
   x = 1,145.89