Finding the Fourth Proportional to 9,947.64, 13,727.86 and 5,471.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,947.64 : 13,727.86 = 5,471.80 : x
2. Step 2: Convert to fraction form
   9,947.64/13,727.86 = 5,471.80/x
3. Step 3: Cross multiply
   9,947.64x = 13,727.86 × 5,471.80
4. Step 4: Simplify right side
   9,947.64x = 75,116,104.35
5. Step 5: Solve for x
   x = 75,116,104.35/9,947.64
6. Step 6: Final answer
   x = 7,551.15