Finding the Fourth Proportional to 10,205.18, 14,084.61 and 5,668.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.18 : 14,084.61 = 5,668.91 : x
2. Step 2: Convert to fraction form
   10,205.18/14,084.61 = 5,668.91/x
3. Step 3: Cross multiply
   10,205.18x = 14,084.61 × 5,668.91
4. Step 4: Simplify right side
   10,205.18x = 79,844,316.05
5. Step 5: Solve for x
   x = 79,844,316.05/10,205.18
6. Step 6: Final answer
   x = 7,823.90