Finding the Fourth Proportional to 10,362.24, 14,300.16 and 5,646.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.24 : 14,300.16 = 5,646.84 : x
2. Step 2: Convert to fraction form
   10,362.24/14,300.16 = 5,646.84/x
3. Step 3: Cross multiply
   10,362.24x = 14,300.16 × 5,646.84
4. Step 4: Simplify right side
   10,362.24x = 80,750,715.49
5. Step 5: Solve for x
   x = 80,750,715.49/10,362.24
6. Step 6: Final answer
   x = 7,792.79