Finding the Fourth Proportional to 9,377.94, 14,055.15 and 3,828.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,377.94 : 14,055.15 = 3,828.24 : x
2. Step 2: Convert to fraction form
   9,377.94/14,055.15 = 3,828.24/x
3. Step 3: Cross multiply
   9,377.94x = 14,055.15 × 3,828.24
4. Step 4: Simplify right side
   9,377.94x = 53,806,487.44
5. Step 5: Solve for x
   x = 53,806,487.44/9,377.94
6. Step 6: Final answer
   x = 5,737.56