Finding the Fourth Proportional to 3,825.52, 5,739.81 and 1,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,825.52 : 5,739.81 = 1,746.50 : x
2. Step 2: Convert to fraction form
   3,825.52/5,739.81 = 1,746.50/x
3. Step 3: Cross multiply
   3,825.52x = 5,739.81 × 1,746.50
4. Step 4: Simplify right side
   3,825.52x = 10,024,542.92
5. Step 5: Solve for x
   x = 10,024,542.92/3,825.52
6. Step 6: Final answer
   x = 2,620.44