Finding the Fourth Proportional to 10,362.30, 14,299.92 and 5,646.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.30 : 14,299.92 = 5,646.54 : x
2. Step 2: Convert to fraction form
   10,362.30/14,299.92 = 5,646.54/x
3. Step 3: Cross multiply
   10,362.30x = 14,299.92 × 5,646.54
4. Step 4: Simplify right side
   10,362.30x = 80,745,070.28
5. Step 5: Solve for x
   x = 80,745,070.28/10,362.30
6. Step 6: Final answer
   x = 7,792.20