Finding the Fourth Proportional to 2,188.34, 3,283.82 and 871.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188.34 : 3,283.82 = 871.86 : x
2. Step 2: Convert to fraction form
   2,188.34/3,283.82 = 871.86/x
3. Step 3: Cross multiply
   2,188.34x = 3,283.82 × 871.86
4. Step 4: Simplify right side
   2,188.34x = 2,863,031.31
5. Step 5: Solve for x
   x = 2,863,031.31/2,188.34
6. Step 6: Final answer
   x = 1,308.31