Finding the Fourth Proportional to 10,379.76, 14,323.95 and 5,664.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,379.76 : 14,323.95 = 5,664.12 : x
2. Step 2: Convert to fraction form
   10,379.76/14,323.95 = 5,664.12/x
3. Step 3: Cross multiply
   10,379.76x = 14,323.95 × 5,664.12
4. Step 4: Simplify right side
   10,379.76x = 81,132,571.67
5. Step 5: Solve for x
   x = 81,132,571.67/10,379.76
6. Step 6: Final answer
   x = 7,816.42