Finding the Fourth Proportional to 7,477.89, 11,223.74 and 3,782.71

Step by Step Solution

1. Step 1: Write the proportion equation
   7,477.89 : 11,223.74 = 3,782.71 : x
2. Step 2: Convert to fraction form
   7,477.89/11,223.74 = 3,782.71/x
3. Step 3: Cross multiply
   7,477.89x = 11,223.74 × 3,782.71
4. Step 4: Simplify right side
   7,477.89x = 42,456,153.54
5. Step 5: Solve for x
   x = 42,456,153.54/7,477.89
6. Step 6: Final answer
   x = 5,677.56