Finding the Fourth Proportional to 1,725.16, 2,586.06 and 684.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,725.16 : 2,586.06 = 684.82 : x
2. Step 2: Convert to fraction form
   1,725.16/2,586.06 = 684.82/x
3. Step 3: Cross multiply
   1,725.16x = 2,586.06 × 684.82
4. Step 4: Simplify right side
   1,725.16x = 1,770,985.61
5. Step 5: Solve for x
   x = 1,770,985.61/1,725.16
6. Step 6: Final answer
   x = 1,026.56