Finding the Fourth Proportional to 1,264.72, 1,744.32 and 871.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.72 : 1,744.32 = 871.60 : x
2. Step 2: Convert to fraction form
   1,264.72/1,744.32 = 871.60/x
3. Step 3: Cross multiply
   1,264.72x = 1,744.32 × 871.60
4. Step 4: Simplify right side
   1,264.72x = 1,520,349.31
5. Step 5: Solve for x
   x = 1,520,349.31/1,264.72
6. Step 6: Final answer
   x = 1,202.12