Finding the Fourth Proportional to 7,668.84, 10,575.98 and 5,684.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,668.84 : 10,575.98 = 5,684.34 : x
2. Step 2: Convert to fraction form
   7,668.84/10,575.98 = 5,684.34/x
3. Step 3: Cross multiply
   7,668.84x = 10,575.98 × 5,684.34
4. Step 4: Simplify right side
   7,668.84x = 60,117,466.15
5. Step 5: Solve for x
   x = 60,117,466.15/7,668.84
6. Step 6: Final answer
   x = 7,839.19