Finding the Fourth Proportional to 9,776.12, 13,491.06 and 5,584.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.12 : 13,491.06 = 5,584.28 : x
2. Step 2: Convert to fraction form
   9,776.12/13,491.06 = 5,584.28/x
3. Step 3: Cross multiply
   9,776.12x = 13,491.06 × 5,584.28
4. Step 4: Simplify right side
   9,776.12x = 75,337,856.54
5. Step 5: Solve for x
   x = 75,337,856.54/9,776.12
6. Step 6: Final answer
   x = 7,706.31