Finding the Fourth Proportional to 9,947.50, 13,727.12 and 5,470.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,947.50 : 13,727.12 = 5,470.96 : x
2. Step 2: Convert to fraction form
   9,947.50/13,727.12 = 5,470.96/x
3. Step 3: Cross multiply
   9,947.50x = 13,727.12 × 5,470.96
4. Step 4: Simplify right side
   9,947.50x = 75,100,507.28
5. Step 5: Solve for x
   x = 75,100,507.28/9,947.50
6. Step 6: Final answer
   x = 7,549.69