Finding the Fourth Proportional to 4,665.75, 6,436.71 and 2,777.46

Step by Step Solution

1. Step 1: Write the proportion equation
   4,665.75 : 6,436.71 = 2,777.46 : x
2. Step 2: Convert to fraction form
   4,665.75/6,436.71 = 2,777.46/x
3. Step 3: Cross multiply
   4,665.75x = 6,436.71 × 2,777.46
4. Step 4: Simplify right side
   4,665.75x = 17,877,704.56
5. Step 5: Solve for x
   x = 17,877,704.56/4,665.75
6. Step 6: Final answer
   x = 3,831.69