Finding the Fourth Proportional to 5,702.56, 7,871.34 and 3,817.36

Step by Step Solution

1. Step 1: Write the proportion equation
   5,702.56 : 7,871.34 = 3,817.36 : x
2. Step 2: Convert to fraction form
   5,702.56/7,871.34 = 3,817.36/x
3. Step 3: Cross multiply
   5,702.56x = 7,871.34 × 3,817.36
4. Step 4: Simplify right side
   5,702.56x = 30,047,738.46
5. Step 5: Solve for x
   x = 30,047,738.46/5,702.56
6. Step 6: Final answer
   x = 5,269.17