Finding the Fourth Proportional to 9,826.44, 13,559.48 and 5,576.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.44 : 13,559.48 = 5,576.16 : x
2. Step 2: Convert to fraction form
   9,826.44/13,559.48 = 5,576.16/x
3. Step 3: Cross multiply
   9,826.44x = 13,559.48 × 5,576.16
4. Step 4: Simplify right side
   9,826.44x = 75,609,802.12
5. Step 5: Solve for x
   x = 75,609,802.12/9,826.44
6. Step 6: Final answer
   x = 7,694.53