Finding the Fourth Proportional to 1,337.83, 2,004.59 and 823.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.83 : 2,004.59 = 823.75 : x
2. Step 2: Convert to fraction form
   1,337.83/2,004.59 = 823.75/x
3. Step 3: Cross multiply
   1,337.83x = 2,004.59 × 823.75
4. Step 4: Simplify right side
   1,337.83x = 1,651,276.89
5. Step 5: Solve for x
   x = 1,651,276.89/1,337.83
6. Step 6: Final answer
   x = 1,234.30