Finding the Fourth Proportional to 7,700.34, 10,625.68 and 5,684.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,700.34 : 10,625.68 = 5,684.82 : x
2. Step 2: Convert to fraction form
   7,700.34/10,625.68 = 5,684.82/x
3. Step 3: Cross multiply
   7,700.34x = 10,625.68 × 5,684.82
4. Step 4: Simplify right side
   7,700.34x = 60,405,078.18
5. Step 5: Solve for x
   x = 60,405,078.18/7,700.34
6. Step 6: Final answer
   x = 7,844.47