Finding the Fourth Proportional to 10,395.05, 14,345.16 and 5,679.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,395.05 : 14,345.16 = 5,679.33 : x
2. Step 2: Convert to fraction form
   10,395.05/14,345.16 = 5,679.33/x
3. Step 3: Cross multiply
   10,395.05x = 14,345.16 × 5,679.33
4. Step 4: Simplify right side
   10,395.05x = 81,470,897.54
5. Step 5: Solve for x
   x = 81,470,897.54/10,395.05
6. Step 6: Final answer
   x = 7,837.47