Finding the Fourth Proportional to 1,570.16, 2,166.72 and 871.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,570.16 : 2,166.72 = 871.52 : x
2. Step 2: Convert to fraction form
   1,570.16/2,166.72 = 871.52/x
3. Step 3: Cross multiply
   1,570.16x = 2,166.72 × 871.52
4. Step 4: Simplify right side
   1,570.16x = 1,888,339.81
5. Step 5: Solve for x
   x = 1,888,339.81/1,570.16
6. Step 6: Final answer
   x = 1,202.64