Finding the Fourth Proportional to 10,871.82, 16,314.00 and 5,874.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,871.82 : 16,314.00 = 5,874.21 : x
2. Step 2: Convert to fraction form
   10,871.82/16,314.00 = 5,874.21/x
3. Step 3: Cross multiply
   10,871.82x = 16,314.00 × 5,874.21
4. Step 4: Simplify right side
   10,871.82x = 95,831,822.79
5. Step 5: Solve for x
   x = 95,831,822.79/10,871.82
6. Step 6: Final answer
   x = 8,814.70