Finding the Fourth Proportional to 9,697.33, 14,533.68 and 5,016.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,697.33 : 14,533.68 = 5,016.46 : x
2. Step 2: Convert to fraction form
   9,697.33/14,533.68 = 5,016.46/x
3. Step 3: Cross multiply
   9,697.33x = 14,533.68 × 5,016.46
4. Step 4: Simplify right side
   9,697.33x = 72,907,624.37
5. Step 5: Solve for x
   x = 72,907,624.37/9,697.33
6. Step 6: Final answer
   x = 7,518.32