Finding the Fourth Proportional to 3,826.24, 5,734.56 and 2,071.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.24 : 5,734.56 = 2,071.20 : x
2. Step 2: Convert to fraction form
   3,826.24/5,734.56 = 2,071.20/x
3. Step 3: Cross multiply
   3,826.24x = 5,734.56 × 2,071.20
4. Step 4: Simplify right side
   3,826.24x = 11,877,420.67
5. Step 5: Solve for x
   x = 11,877,420.67/3,826.24
6. Step 6: Final answer
   x = 3,104.20