Finding the Fourth Proportional to 10,379.68, 14,323.92 and 5,664.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,379.68 : 14,323.92 = 5,664.04 : x
2. Step 2: Convert to fraction form
   10,379.68/14,323.92 = 5,664.04/x
3. Step 3: Cross multiply
   10,379.68x = 14,323.92 × 5,664.04
4. Step 4: Simplify right side
   10,379.68x = 81,131,255.84
5. Step 5: Solve for x
   x = 81,131,255.84/10,379.68
6. Step 6: Final answer
   x = 7,816.35