Finding the Fourth Proportional to 9,947.56, 13,727.67 and 5,471.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,947.56 : 13,727.67 = 5,471.77 : x
2. Step 2: Convert to fraction form
   9,947.56/13,727.67 = 5,471.77/x
3. Step 3: Cross multiply
   9,947.56x = 13,727.67 × 5,471.77
4. Step 4: Simplify right side
   9,947.56x = 75,114,652.88
5. Step 5: Solve for x
   x = 75,114,652.88/9,947.56
6. Step 6: Final answer
   x = 7,551.06