Finding the Fourth Proportional to 1,131.57, 1,564.82 and 1,082.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.57 : 1,564.82 = 1,082.67 : x
2. Step 2: Convert to fraction form
   1,131.57/1,564.82 = 1,082.67/x
3. Step 3: Cross multiply
   1,131.57x = 1,564.82 × 1,082.67
4. Step 4: Simplify right side
   1,131.57x = 1,694,176.45
5. Step 5: Solve for x
   x = 1,694,176.45/1,131.57
6. Step 6: Final answer
   x = 1,497.19