Finding the Fourth Proportional to 1,569.82, 2,166.42 and 871.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569.82 : 2,166.42 = 871.20 : x
2. Step 2: Convert to fraction form
   1,569.82/2,166.42 = 871.20/x
3. Step 3: Cross multiply
   1,569.82x = 2,166.42 × 871.20
4. Step 4: Simplify right side
   1,569.82x = 1,887,385.10
5. Step 5: Solve for x
   x = 1,887,385.10/1,569.82
6. Step 6: Final answer
   x = 1,202.29