Finding the Fourth Proportional to 10,362.57, 14,300.33 and 5,646.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.57 : 14,300.33 = 5,646.84 : x
2. Step 2: Convert to fraction form
   10,362.57/14,300.33 = 5,646.84/x
3. Step 3: Cross multiply
   10,362.57x = 14,300.33 × 5,646.84
4. Step 4: Simplify right side
   10,362.57x = 80,751,647.22
5. Step 5: Solve for x
   x = 80,751,647.22/10,362.57
6. Step 6: Final answer
   x = 7,792.63