Finding the Fourth Proportional to 4,077.42, 5,584.68 and 3,838.05

Step by Step Solution

1. Step 1: Write the proportion equation
   4,077.42 : 5,584.68 = 3,838.05 : x
2. Step 2: Convert to fraction form
   4,077.42/5,584.68 = 3,838.05/x
3. Step 3: Cross multiply
   4,077.42x = 5,584.68 × 3,838.05
4. Step 4: Simplify right side
   4,077.42x = 21,434,281.07
5. Step 5: Solve for x
   x = 21,434,281.07/4,077.42
6. Step 6: Final answer
   x = 5,256.82