Finding the Fourth Proportional to 1,500.82, 2,071.13 and 871.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500.82 : 2,071.13 = 871.71 : x
2. Step 2: Convert to fraction form
   1,500.82/2,071.13 = 871.71/x
3. Step 3: Cross multiply
   1,500.82x = 2,071.13 × 871.71
4. Step 4: Simplify right side
   1,500.82x = 1,805,426.71
5. Step 5: Solve for x
   x = 1,805,426.71/1,500.82
6. Step 6: Final answer
   x = 1,202.96