Finding the Fourth Proportional to 2,411.72, 3,617.57 and 768.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.72 : 3,617.57 = 768.40 : x
2. Step 2: Convert to fraction form
   2,411.72/3,617.57 = 768.40/x
3. Step 3: Cross multiply
   2,411.72x = 3,617.57 × 768.40
4. Step 4: Simplify right side
   2,411.72x = 2,779,731.50
5. Step 5: Solve for x
   x = 2,779,731.50/2,411.72
6. Step 6: Final answer
   x = 1,152.59