Finding the Fourth Proportional to 1,166.82, 1,610.98 and 725.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.82 : 1,610.98 = 725.38 : x
2. Step 2: Convert to fraction form
   1,166.82/1,610.98 = 725.38/x
3. Step 3: Cross multiply
   1,166.82x = 1,610.98 × 725.38
4. Step 4: Simplify right side
   1,166.82x = 1,168,572.67
5. Step 5: Solve for x
   x = 1,168,572.67/1,166.82
6. Step 6: Final answer
   x = 1,001.50