Finding the Fourth Proportional to 6,023.10, 9,017.61 and 3,826.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,023.10 : 9,017.61 = 3,826.38 : x
2. Step 2: Convert to fraction form
   6,023.10/9,017.61 = 3,826.38/x
3. Step 3: Cross multiply
   6,023.10x = 9,017.61 × 3,826.38
4. Step 4: Simplify right side
   6,023.10x = 34,504,802.55
5. Step 5: Solve for x
   x = 34,504,802.55/6,023.10
6. Step 6: Final answer
   x = 5,728.74