Finding the Fourth Proportional to 10,362.27, 14,299.98 and 5,646.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.27 : 14,299.98 = 5,646.57 : x
2. Step 2: Convert to fraction form
   10,362.27/14,299.98 = 5,646.57/x
3. Step 3: Cross multiply
   10,362.27x = 14,299.98 × 5,646.57
4. Step 4: Simplify right side
   10,362.27x = 80,745,838.07
5. Step 5: Solve for x
   x = 80,745,838.07/10,362.27
6. Step 6: Final answer
   x = 7,792.29