Finding the Fourth Proportional to 1,166.69, 1,610.04 and 642.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.69 : 1,610.04 = 642.73 : x
2. Step 2: Convert to fraction form
   1,166.69/1,610.04 = 642.73/x
3. Step 3: Cross multiply
   1,166.69x = 1,610.04 × 642.73
4. Step 4: Simplify right side
   1,166.69x = 1,034,812.96
5. Step 5: Solve for x
   x = 1,034,812.96/1,166.69
6. Step 6: Final answer
   x = 886.96