Finding the Fourth Proportional to 7,684.04, 10,589.94 and 5,584.52

Step by Step Solution

1. Step 1: Write the proportion equation
   7,684.04 : 10,589.94 = 5,584.52 : x
2. Step 2: Convert to fraction form
   7,684.04/10,589.94 = 5,584.52/x
3. Step 3: Cross multiply
   7,684.04x = 10,589.94 × 5,584.52
4. Step 4: Simplify right side
   7,684.04x = 59,139,731.73
5. Step 5: Solve for x
   x = 59,139,731.73/7,684.04
6. Step 6: Final answer
   x = 7,696.44