Finding the Fourth Proportional to 9,775.37, 13,491.81 and 5,583.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,775.37 : 13,491.81 = 5,583.62 : x
2. Step 2: Convert to fraction form
   9,775.37/13,491.81 = 5,583.62/x
3. Step 3: Cross multiply
   9,775.37x = 13,491.81 × 5,583.62
4. Step 4: Simplify right side
   9,775.37x = 75,333,072.69
5. Step 5: Solve for x
   x = 75,333,072.69/9,775.37
6. Step 6: Final answer
   x = 7,706.42