Finding the Fourth Proportional to 15,829.56, 21,844.71 and 9,116.37

Step by Step Solution

1. Step 1: Write the proportion equation
   15,829.56 : 21,844.71 = 9,116.37 : x
2. Step 2: Convert to fraction form
   15,829.56/21,844.71 = 9,116.37/x
3. Step 3: Cross multiply
   15,829.56x = 21,844.71 × 9,116.37
4. Step 4: Simplify right side
   15,829.56x = 199,144,458.90
5. Step 5: Solve for x
   x = 199,144,458.90/15,829.56
6. Step 6: Final answer
   x = 12,580.54