Finding the Fourth Proportional to 2,409.38, 3,614.78 and 828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,409.38 : 3,614.78 = 828.50 : x
2. Step 2: Convert to fraction form
   2,409.38/3,614.78 = 828.50/x
3. Step 3: Cross multiply
   2,409.38x = 3,614.78 × 828.50
4. Step 4: Simplify right side
   2,409.38x = 2,994,823.01
5. Step 5: Solve for x
   x = 2,994,823.01/2,409.38
6. Step 6: Final answer
   x = 1,242.98