Finding the Fourth Proportional to 10,829.49, 16,238.16 and 5,271

Step by Step Solution

1. Step 1: Write the proportion equation
   10,829.49 : 16,238.16 = 5,271 : x
2. Step 2: Convert to fraction form
   10,829.49/16,238.16 = 5,271/x
3. Step 3: Cross multiply
   10,829.49x = 16,238.16 × 5,271
4. Step 4: Simplify right side
   10,829.49x = 85,591,341.36
5. Step 5: Solve for x
   x = 85,591,341.36/10,829.49
6. Step 6: Final answer
   x = 7,903.54