Finding the Fourth Proportional to 1,534.89, 2,118.25 and 871.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.89 : 2,118.25 = 871.49 : x
2. Step 2: Convert to fraction form
   1,534.89/2,118.25 = 871.49/x
3. Step 3: Cross multiply
   1,534.89x = 2,118.25 × 871.49
4. Step 4: Simplify right side
   1,534.89x = 1,846,029.34
5. Step 5: Solve for x
   x = 1,846,029.34/1,534.89
6. Step 6: Final answer
   x = 1,202.71