Finding the Fourth Proportional to 2,004.59, 3,006.12 and 688.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.59 : 3,006.12 = 688.10 : x
2. Step 2: Convert to fraction form
   2,004.59/3,006.12 = 688.10/x
3. Step 3: Cross multiply
   2,004.59x = 3,006.12 × 688.10
4. Step 4: Simplify right side
   2,004.59x = 2,068,513.48
5. Step 5: Solve for x
   x = 2,068,513.48/2,004.59
6. Step 6: Final answer
   x = 1,031.89