Finding the Fourth Proportional to 11,796.50, 16,261.73 and 7,547.11

Step by Step Solution

1. Step 1: Write the proportion equation
   11,796.50 : 16,261.73 = 7,547.11 : x
2. Step 2: Convert to fraction form
   11,796.50/16,261.73 = 7,547.11/x
3. Step 3: Cross multiply
   11,796.50x = 16,261.73 × 7,547.11
4. Step 4: Simplify right side
   11,796.50x = 122,729,015.01
5. Step 5: Solve for x
   x = 122,729,015.01/11,796.50
6. Step 6: Final answer
   x = 10,403.85