Finding the Fourth Proportional to 1,133.33, 1,564.05 and 661.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,133.33 : 1,564.05 = 661.23 : x
2. Step 2: Convert to fraction form
   1,133.33/1,564.05 = 661.23/x
3. Step 3: Cross multiply
   1,133.33x = 1,564.05 × 661.23
4. Step 4: Simplify right side
   1,133.33x = 1,034,196.78
5. Step 5: Solve for x
   x = 1,034,196.78/1,133.33
6. Step 6: Final answer
   x = 912.53