Finding the Fourth Proportional to 1,766.10, 2,648.16 and 725.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,766.10 : 2,648.16 = 725.52 : x
2. Step 2: Convert to fraction form
   1,766.10/2,648.16 = 725.52/x
3. Step 3: Cross multiply
   1,766.10x = 2,648.16 × 725.52
4. Step 4: Simplify right side
   1,766.10x = 1,921,293.04
5. Step 5: Solve for x
   x = 1,921,293.04/1,766.10
6. Step 6: Final answer
   x = 1,087.87