Finding the Fourth Proportional to 1,150.64, 1,587.96 and 871.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.64 : 1,587.96 = 871.72 : x
2. Step 2: Convert to fraction form
   1,150.64/1,587.96 = 871.72/x
3. Step 3: Cross multiply
   1,150.64x = 1,587.96 × 871.72
4. Step 4: Simplify right side
   1,150.64x = 1,384,256.49
5. Step 5: Solve for x
   x = 1,384,256.49/1,150.64
6. Step 6: Final answer
   x = 1,203.03