Finding the Fourth Proportional to 9,456.12, 13,047.48 and 5,477.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,456.12 : 13,047.48 = 5,477.76 : x
2. Step 2: Convert to fraction form
   9,456.12/13,047.48 = 5,477.76/x
3. Step 3: Cross multiply
   9,456.12x = 13,047.48 × 5,477.76
4. Step 4: Simplify right side
   9,456.12x = 71,470,964.04
5. Step 5: Solve for x
   x = 71,470,964.04/9,456.12
6. Step 6: Final answer
   x = 7,558.17