Finding the Fourth Proportional to 22,496.43, 33,744.69 and 7,705.47

Step by Step Solution

1. Step 1: Write the proportion equation
   22,496.43 : 33,744.69 = 7,705.47 : x
2. Step 2: Convert to fraction form
   22,496.43/33,744.69 = 7,705.47/x
3. Step 3: Cross multiply
   22,496.43x = 33,744.69 × 7,705.47
4. Step 4: Simplify right side
   22,496.43x = 260,018,696.45
5. Step 5: Solve for x
   x = 260,018,696.45/22,496.43
6. Step 6: Final answer
   x = 11,558.22