Finding the Fourth Proportional to 9,581.76, 14,362.56 and 3,738.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,581.76 : 14,362.56 = 3,738.24 : x
2. Step 2: Convert to fraction form
   9,581.76/14,362.56 = 3,738.24/x
3. Step 3: Cross multiply
   9,581.76x = 14,362.56 × 3,738.24
4. Step 4: Simplify right side
   9,581.76x = 53,690,696.29
5. Step 5: Solve for x
   x = 53,690,696.29/9,581.76
6. Step 6: Final answer
   x = 5,603.43