Finding the Fourth Proportional to 11,822.75, 16,322.06 and 7,849.29

Step by Step Solution

1. Step 1: Write the proportion equation
   11,822.75 : 16,322.06 = 7,849.29 : x
2. Step 2: Convert to fraction form
   11,822.75/16,322.06 = 7,849.29/x
3. Step 3: Cross multiply
   11,822.75x = 16,322.06 × 7,849.29
4. Step 4: Simplify right side
   11,822.75x = 128,116,601.96
5. Step 5: Solve for x
   x = 128,116,601.96/11,822.75
6. Step 6: Final answer
   x = 10,836.45