Finding the Fourth Proportional to 2,411.28, 3,617.37 and 768.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.28 : 3,617.37 = 768.24 : x
2. Step 2: Convert to fraction form
   2,411.28/3,617.37 = 768.24/x
3. Step 3: Cross multiply
   2,411.28x = 3,617.37 × 768.24
4. Step 4: Simplify right side
   2,411.28x = 2,779,008.33
5. Step 5: Solve for x
   x = 2,779,008.33/2,411.28
6. Step 6: Final answer
   x = 1,152.50