Finding the Fourth Proportional to 10,201.13, 14,078.28 and 5,664.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,201.13 : 14,078.28 = 5,664.05 : x
2. Step 2: Convert to fraction form
   10,201.13/14,078.28 = 5,664.05/x
3. Step 3: Cross multiply
   10,201.13x = 14,078.28 × 5,664.05
4. Step 4: Simplify right side
   10,201.13x = 79,740,081.83
5. Step 5: Solve for x
   x = 79,740,081.83/10,201.13
6. Step 6: Final answer
   x = 7,816.79