Finding the Fourth Proportional to 2,471.87, 3,707.69 and 828.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,471.87 : 3,707.69 = 828.29 : x
2. Step 2: Convert to fraction form
   2,471.87/3,707.69 = 828.29/x
3. Step 3: Cross multiply
   2,471.87x = 3,707.69 × 828.29
4. Step 4: Simplify right side
   2,471.87x = 3,071,019.87
5. Step 5: Solve for x
   x = 3,071,019.87/2,471.87
6. Step 6: Final answer
   x = 1,242.39