Finding the Fourth Proportional to 1,570.06, 2,166.42 and 871.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,570.06 : 2,166.42 = 871.42 : x
2. Step 2: Convert to fraction form
   1,570.06/2,166.42 = 871.42/x
3. Step 3: Cross multiply
   1,570.06x = 2,166.42 × 871.42
4. Step 4: Simplify right side
   1,570.06x = 1,887,861.72
5. Step 5: Solve for x
   x = 1,887,861.72/1,570.06
6. Step 6: Final answer
   x = 1,202.41