Finding the Fourth Proportional to 10,362.06, 14,299.56 and 5,646.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.06 : 14,299.56 = 5,646.42 : x
2. Step 2: Convert to fraction form
   10,362.06/14,299.56 = 5,646.42/x
3. Step 3: Cross multiply
   10,362.06x = 14,299.56 × 5,646.42
4. Step 4: Simplify right side
   10,362.06x = 80,741,321.58
5. Step 5: Solve for x
   x = 80,741,321.58/10,362.06
6. Step 6: Final answer
   x = 7,792.01