Finding the Fourth Proportional to 1,131.87, 1,564.62 and 869.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.87 : 1,564.62 = 869.43 : x
2. Step 2: Convert to fraction form
   1,131.87/1,564.62 = 869.43/x
3. Step 3: Cross multiply
   1,131.87x = 1,564.62 × 869.43
4. Step 4: Simplify right side
   1,131.87x = 1,360,327.57
5. Step 5: Solve for x
   x = 1,360,327.57/1,131.87
6. Step 6: Final answer
   x = 1,201.84