Finding the Fourth Proportional to 10,379.72, 14,323.74 and 5,664.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,379.72 : 14,323.74 = 5,664.08 : x
2. Step 2: Convert to fraction form
   10,379.72/14,323.74 = 5,664.08/x
3. Step 3: Cross multiply
   10,379.72x = 14,323.74 × 5,664.08
4. Step 4: Simplify right side
   10,379.72x = 81,130,809.26
5. Step 5: Solve for x
   x = 81,130,809.26/10,379.72
6. Step 6: Final answer
   x = 7,816.28