Finding the Fourth Proportional to 9,736.20, 14,596.20 and 5,562.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736.20 : 14,596.20 = 5,562.27 : x
2. Step 2: Convert to fraction form
   9,736.20/14,596.20 = 5,562.27/x
3. Step 3: Cross multiply
   9,736.20x = 14,596.20 × 5,562.27
4. Step 4: Simplify right side
   9,736.20x = 81,188,005.37
5. Step 5: Solve for x
   x = 81,188,005.37/9,736.20
6. Step 6: Final answer
   x = 8,338.78