Finding the Fourth Proportional to 1,570.10, 2,166.83 and 871.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,570.10 : 2,166.83 = 871.47 : x
2. Step 2: Convert to fraction form
   1,570.10/2,166.83 = 871.47/x
3. Step 3: Cross multiply
   1,570.10x = 2,166.83 × 871.47
4. Step 4: Simplify right side
   1,570.10x = 1,888,329.52
5. Step 5: Solve for x
   x = 1,888,329.52/1,570.10
6. Step 6: Final answer
   x = 1,202.68