Finding the Fourth Proportional to 7,787.75, 10,757.00 and 5,440.37

Step by Step Solution

1. Step 1: Write the proportion equation
   7,787.75 : 10,757.00 = 5,440.37 : x
2. Step 2: Convert to fraction form
   7,787.75/10,757.00 = 5,440.37/x
3. Step 3: Cross multiply
   7,787.75x = 10,757.00 × 5,440.37
4. Step 4: Simplify right side
   7,787.75x = 58,522,019.91
5. Step 5: Solve for x
   x = 58,522,019.91/7,787.75
6. Step 6: Final answer
   x = 7,514.63