Finding the Fourth Proportional to 9,946.91, 13,727.09 and 5,471.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,946.91 : 13,727.09 = 5,471.01 : x
2. Step 2: Convert to fraction form
   9,946.91/13,727.09 = 5,471.01/x
3. Step 3: Cross multiply
   9,946.91x = 13,727.09 × 5,471.01
4. Step 4: Simplify right side
   9,946.91x = 75,101,019.31
5. Step 5: Solve for x
   x = 75,101,019.31/9,946.91
6. Step 6: Final answer
   x = 7,550.19