Finding the Fourth Proportional to 1,133.67, 1,564.41 and 661.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,133.67 : 1,564.41 = 661.57 : x
2. Step 2: Convert to fraction form
   1,133.67/1,564.41 = 661.57/x
3. Step 3: Cross multiply
   1,133.67x = 1,564.41 × 661.57
4. Step 4: Simplify right side
   1,133.67x = 1,034,966.72
5. Step 5: Solve for x
   x = 1,034,966.72/1,133.67
6. Step 6: Final answer
   x = 912.94