Finding the Fourth Proportional to 3,826.72, 5,740.12 and 1,746.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.72 : 5,740.12 = 1,746.64 : x
2. Step 2: Convert to fraction form
   3,826.72/5,740.12 = 1,746.64/x
3. Step 3: Cross multiply
   3,826.72x = 5,740.12 × 1,746.64
4. Step 4: Simplify right side
   3,826.72x = 10,025,923.20
5. Step 5: Solve for x
   x = 10,025,923.20/3,826.72
6. Step 6: Final answer
   x = 2,619.98