Finding the Fourth Proportional to 2,004.75, 3,007.23 and 688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.75 : 3,007.23 = 688.50 : x
2. Step 2: Convert to fraction form
   2,004.75/3,007.23 = 688.50/x
3. Step 3: Cross multiply
   2,004.75x = 3,007.23 × 688.50
4. Step 4: Simplify right side
   2,004.75x = 2,070,475.27
5. Step 5: Solve for x
   x = 2,070,475.27/2,004.75
6. Step 6: Final answer
   x = 1,032.78