Finding the Fourth Proportional to 10,379.71, 14,323.75 and 5,664.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,379.71 : 14,323.75 = 5,664.07 : x
2. Step 2: Convert to fraction form
   10,379.71/14,323.75 = 5,664.07/x
3. Step 3: Cross multiply
   10,379.71x = 14,323.75 × 5,664.07
4. Step 4: Simplify right side
   10,379.71x = 81,130,722.66
5. Step 5: Solve for x
   x = 81,130,722.66/10,379.71
6. Step 6: Final answer
   x = 7,816.28