Finding the Fourth Proportional to 1,133.82, 1,564.82 and 691.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,133.82 : 1,564.82 = 691.79 : x
2. Step 2: Convert to fraction form
   1,133.82/1,564.82 = 691.79/x
3. Step 3: Cross multiply
   1,133.82x = 1,564.82 × 691.79
4. Step 4: Simplify right side
   1,133.82x = 1,082,515.54
5. Step 5: Solve for x
   x = 1,082,515.54/1,133.82
6. Step 6: Final answer
   x = 954.75