Finding the Fourth Proportional to 1,072.87, 1,608.53 and 725.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.87 : 1,608.53 = 725.34 : x
2. Step 2: Convert to fraction form
   1,072.87/1,608.53 = 725.34/x
3. Step 3: Cross multiply
   1,072.87x = 1,608.53 × 725.34
4. Step 4: Simplify right side
   1,072.87x = 1,166,731.15
5. Step 5: Solve for x
   x = 1,166,731.15/1,072.87
6. Step 6: Final answer
   x = 1,087.49