Finding the Fourth Proportional to 1,133.78, 1,564.61 and 691.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,133.78 : 1,564.61 = 691.59 : x
2. Step 2: Convert to fraction form
   1,133.78/1,564.61 = 691.59/x
3. Step 3: Cross multiply
   1,133.78x = 1,564.61 × 691.59
4. Step 4: Simplify right side
   1,133.78x = 1,082,065.17
5. Step 5: Solve for x
   x = 1,082,065.17/1,133.78
6. Step 6: Final answer
   x = 954.39