Finding the Fourth Proportional to 10,340.46, 14,269.53 and 5,864.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,340.46 : 14,269.53 = 5,864.62 : x
2. Step 2: Convert to fraction form
   10,340.46/14,269.53 = 5,864.62/x
3. Step 3: Cross multiply
   10,340.46x = 14,269.53 × 5,864.62
4. Step 4: Simplify right side
   10,340.46x = 83,685,371.03
5. Step 5: Solve for x
   x = 83,685,371.03/10,340.46
6. Step 6: Final answer
   x = 8,093.00