Finding the Fourth Proportional to 1,500.96, 2,071.05 and 871.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500.96 : 2,071.05 = 871.56 : x
2. Step 2: Convert to fraction form
   1,500.96/2,071.05 = 871.56/x
3. Step 3: Cross multiply
   1,500.96x = 2,071.05 × 871.56
4. Step 4: Simplify right side
   1,500.96x = 1,805,044.34
5. Step 5: Solve for x
   x = 1,805,044.34/1,500.96
6. Step 6: Final answer
   x = 1,202.59