Finding the Fourth Proportional to 1,569.94, 2,166.53 and 871.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569.94 : 2,166.53 = 871.31 : x
2. Step 2: Convert to fraction form
   1,569.94/2,166.53 = 871.31/x
3. Step 3: Cross multiply
   1,569.94x = 2,166.53 × 871.31
4. Step 4: Simplify right side
   1,569.94x = 1,887,720.31
5. Step 5: Solve for x
   x = 1,887,720.31/1,569.94
6. Step 6: Final answer
   x = 1,202.42