Finding the Fourth Proportional to 10,205.61, 14,083.53 and 5,668.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.61 : 14,083.53 = 5,668.05 : x
2. Step 2: Convert to fraction form
   10,205.61/14,083.53 = 5,668.05/x
3. Step 3: Cross multiply
   10,205.61x = 14,083.53 × 5,668.05
4. Step 4: Simplify right side
   10,205.61x = 79,826,152.22
5. Step 5: Solve for x
   x = 79,826,152.22/10,205.61
6. Step 6: Final answer
   x = 7,821.79