Finding the Fourth Proportional to 9,782.56, 13,496.61 and 5,533.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.56 : 13,496.61 = 5,533.12 : x
2. Step 2: Convert to fraction form
   9,782.56/13,496.61 = 5,533.12/x
3. Step 3: Cross multiply
   9,782.56x = 13,496.61 × 5,533.12
4. Step 4: Simplify right side
   9,782.56x = 74,678,362.72
5. Step 5: Solve for x
   x = 74,678,362.72/9,782.56
6. Step 6: Final answer
   x = 7,633.83