Finding the Fourth Proportional to 10,409.84, 14,364.71 and 5,872.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.84 : 14,364.71 = 5,872.27 : x
2. Step 2: Convert to fraction form
   10,409.84/14,364.71 = 5,872.27/x
3. Step 3: Cross multiply
   10,409.84x = 14,364.71 × 5,872.27
4. Step 4: Simplify right side
   10,409.84x = 84,353,455.59
5. Step 5: Solve for x
   x = 84,353,455.59/10,409.84
6. Step 6: Final answer
   x = 8,103.24