Finding the Fourth Proportional to 1,166.27, 1,609.47 and 872.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.27 : 1,609.47 = 872.37 : x
2. Step 2: Convert to fraction form
   1,166.27/1,609.47 = 872.37/x
3. Step 3: Cross multiply
   1,166.27x = 1,609.47 × 872.37
4. Step 4: Simplify right side
   1,166.27x = 1,404,053.34
5. Step 5: Solve for x
   x = 1,404,053.34/1,166.27
6. Step 6: Final answer
   x = 1,203.89