Finding the Fourth Proportional to 10,201.62, 14,078.98 and 5,664.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,201.62 : 14,078.98 = 5,664.54 : x
2. Step 2: Convert to fraction form
   10,201.62/14,078.98 = 5,664.54/x
3. Step 3: Cross multiply
   10,201.62x = 14,078.98 × 5,664.54
4. Step 4: Simplify right side
   10,201.62x = 79,750,945.37
5. Step 5: Solve for x
   x = 79,750,945.37/10,201.62
6. Step 6: Final answer
   x = 7,817.48