Finding the Fourth Proportional to 2,472.46, 3,707.51 and 827.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,472.46 : 3,707.51 = 827.83 : x
2. Step 2: Convert to fraction form
   2,472.46/3,707.51 = 827.83/x
3. Step 3: Cross multiply
   2,472.46x = 3,707.51 × 827.83
4. Step 4: Simplify right side
   2,472.46x = 3,069,188.50
5. Step 5: Solve for x
   x = 3,069,188.50/2,472.46
6. Step 6: Final answer
   x = 1,241.35