Finding the Fourth Proportional to 2,471.96, 3,707.58 and 828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,471.96 : 3,707.58 = 828.50 : x
2. Step 2: Convert to fraction form
   2,471.96/3,707.58 = 828.50/x
3. Step 3: Cross multiply
   2,471.96x = 3,707.58 × 828.50
4. Step 4: Simplify right side
   2,471.96x = 3,071,730.03
5. Step 5: Solve for x
   x = 3,071,730.03/2,471.96
6. Step 6: Final answer
   x = 1,242.63