Finding the Fourth Proportional to 11,892.56, 16,409.76 and 7,644.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11,892.56 : 16,409.76 = 7,644.56 : x
2. Step 2: Convert to fraction form
   11,892.56/16,409.76 = 7,644.56/x
3. Step 3: Cross multiply
   11,892.56x = 16,409.76 × 7,644.56
4. Step 4: Simplify right side
   11,892.56x = 125,445,394.91
5. Step 5: Solve for x
   x = 125,445,394.91/11,892.56
6. Step 6: Final answer
   x = 10,548.22