Finding the Fourth Proportional to 1,534.72, 2,117.88 and 871.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.72 : 2,117.88 = 871.56 : x
2. Step 2: Convert to fraction form
   1,534.72/2,117.88 = 871.56/x
3. Step 3: Cross multiply
   1,534.72x = 2,117.88 × 871.56
4. Step 4: Simplify right side
   1,534.72x = 1,845,859.49
5. Step 5: Solve for x
   x = 1,845,859.49/1,534.72
6. Step 6: Final answer
   x = 1,202.73