Finding the Fourth Proportional to 11,804.48, 16,289.52 and 6,499.16

Step by Step Solution

1. Step 1: Write the proportion equation
   11,804.48 : 16,289.52 = 6,499.16 : x
2. Step 2: Convert to fraction form
   11,804.48/16,289.52 = 6,499.16/x
3. Step 3: Cross multiply
   11,804.48x = 16,289.52 × 6,499.16
4. Step 4: Simplify right side
   11,804.48x = 105,868,196.80
5. Step 5: Solve for x
   x = 105,868,196.80/11,804.48
6. Step 6: Final answer
   x = 8,968.48