Finding the Fourth Proportional to 9,836.25, 13,574.16 and 5,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836.25 : 13,574.16 = 5,644.50 : x
2. Step 2: Convert to fraction form
   9,836.25/13,574.16 = 5,644.50/x
3. Step 3: Cross multiply
   9,836.25x = 13,574.16 × 5,644.50
4. Step 4: Simplify right side
   9,836.25x = 76,619,346.12
5. Step 5: Solve for x
   x = 76,619,346.12/9,836.25
6. Step 6: Final answer
   x = 7,789.49