Finding the Fourth Proportional to 9,727.05, 13,420.89 and 5,477.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,727.05 : 13,420.89 = 5,477.25 : x
2. Step 2: Convert to fraction form
   9,727.05/13,420.89 = 5,477.25/x
3. Step 3: Cross multiply
   9,727.05x = 13,420.89 × 5,477.25
4. Step 4: Simplify right side
   9,727.05x = 73,509,569.75
5. Step 5: Solve for x
   x = 73,509,569.75/9,727.05
6. Step 6: Final answer
   x = 7,557.23