Finding the Fourth Proportional to 5,256.34, 7,889.98 and 3,871.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,256.34 : 7,889.98 = 3,871.24 : x
2. Step 2: Convert to fraction form
   5,256.34/7,889.98 = 3,871.24/x
3. Step 3: Cross multiply
   5,256.34x = 7,889.98 × 3,871.24
4. Step 4: Simplify right side
   5,256.34x = 30,543,996.50
5. Step 5: Solve for x
   x = 30,543,996.50/5,256.34
6. Step 6: Final answer
   x = 5,810.89