Finding the Fourth Proportional to 2,411.83, 3,617.68 and 768.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.83 : 3,617.68 = 768.34 : x
2. Step 2: Convert to fraction form
   2,411.83/3,617.68 = 768.34/x
3. Step 3: Cross multiply
   2,411.83x = 3,617.68 × 768.34
4. Step 4: Simplify right side
   2,411.83x = 2,779,608.25
5. Step 5: Solve for x
   x = 2,779,608.25/2,411.83
6. Step 6: Final answer
   x = 1,152.49