Finding the Fourth Proportional to 1,609.47, 2,411.98 and 684.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.47 : 2,411.98 = 684.72 : x
2. Step 2: Convert to fraction form
   1,609.47/2,411.98 = 684.72/x
3. Step 3: Cross multiply
   1,609.47x = 2,411.98 × 684.72
4. Step 4: Simplify right side
   1,609.47x = 1,651,529.23
5. Step 5: Solve for x
   x = 1,651,529.23/1,609.47
6. Step 6: Final answer
   x = 1,026.13