Finding the Fourth Proportional to 9,728.70, 14,597.63 and 5,046.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,728.70 : 14,597.63 = 5,046.18 : x
2. Step 2: Convert to fraction form
   9,728.70/14,597.63 = 5,046.18/x
3. Step 3: Cross multiply
   9,728.70x = 14,597.63 × 5,046.18
4. Step 4: Simplify right side
   9,728.70x = 73,662,243.32
5. Step 5: Solve for x
   x = 73,662,243.32/9,728.70
6. Step 6: Final answer
   x = 7,571.64