Finding the Fourth Proportional to 10,362.12, 14,299.83 and 5,646.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.12 : 14,299.83 = 5,646.48 : x
2. Step 2: Convert to fraction form
   10,362.12/14,299.83 = 5,646.48/x
3. Step 3: Cross multiply
   10,362.12x = 14,299.83 × 5,646.48
4. Step 4: Simplify right side
   10,362.12x = 80,743,704.10
5. Step 5: Solve for x
   x = 80,743,704.10/10,362.12
6. Step 6: Final answer
   x = 7,792.20