Finding the Fourth Proportional to 1,569.72, 2,166.22 and 871.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569.72 : 2,166.22 = 871.10 : x
2. Step 2: Convert to fraction form
   1,569.72/2,166.22 = 871.10/x
3. Step 3: Cross multiply
   1,569.72x = 2,166.22 × 871.10
4. Step 4: Simplify right side
   1,569.72x = 1,886,994.24
5. Step 5: Solve for x
   x = 1,886,994.24/1,569.72
6. Step 6: Final answer
   x = 1,202.12