Finding the Fourth Proportional to 1,604.38, 2,404.47 and 823.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,604.38 : 2,404.47 = 823.72 : x
2. Step 2: Convert to fraction form
   1,604.38/2,404.47 = 823.72/x
3. Step 3: Cross multiply
   1,604.38x = 2,404.47 × 823.72
4. Step 4: Simplify right side
   1,604.38x = 1,980,598.01
5. Step 5: Solve for x
   x = 1,980,598.01/1,604.38
6. Step 6: Final answer
   x = 1,234.50