Finding the Fourth Proportional to 9,776.69, 13,491.83 and 5,584.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.69 : 13,491.83 = 5,584.94 : x
2. Step 2: Convert to fraction form
   9,776.69/13,491.83 = 5,584.94/x
3. Step 3: Cross multiply
   9,776.69x = 13,491.83 × 5,584.94
4. Step 4: Simplify right side
   9,776.69x = 75,351,061.04
5. Step 5: Solve for x
   x = 75,351,061.04/9,776.69
6. Step 6: Final answer
   x = 7,707.22