Finding the Fourth Proportional to 10,362.78, 14,300.22 and 5,646.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.78 : 14,300.22 = 5,646.96 : x
2. Step 2: Convert to fraction form
   10,362.78/14,300.22 = 5,646.96/x
3. Step 3: Cross multiply
   10,362.78x = 14,300.22 × 5,646.96
4. Step 4: Simplify right side
   10,362.78x = 80,752,770.33
5. Step 5: Solve for x
   x = 80,752,770.33/10,362.78
6. Step 6: Final answer
   x = 7,792.58