Finding the Fourth Proportional to 1,133.76, 1,564.72 and 691.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,133.76 : 1,564.72 = 691.67 : x
2. Step 2: Convert to fraction form
   1,133.76/1,564.72 = 691.67/x
3. Step 3: Cross multiply
   1,133.76x = 1,564.72 × 691.67
4. Step 4: Simplify right side
   1,133.76x = 1,082,272.07
5. Step 5: Solve for x
   x = 1,082,272.07/1,133.76
6. Step 6: Final answer
   x = 954.58