Finding the Fourth Proportional to 4,077.54, 5,584.85 and 3,838.17

Step by Step Solution

1. Step 1: Write the proportion equation
   4,077.54 : 5,584.85 = 3,838.17 : x
2. Step 2: Convert to fraction form
   4,077.54/5,584.85 = 3,838.17/x
3. Step 3: Cross multiply
   4,077.54x = 5,584.85 × 3,838.17
4. Step 4: Simplify right side
   4,077.54x = 21,435,603.72
5. Step 5: Solve for x
   x = 21,435,603.72/4,077.54
6. Step 6: Final answer
   x = 5,256.99