Finding the Fourth Proportional to 10,052.54, 13,872.24 and 5,576.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,052.54 : 13,872.24 = 5,576.28 : x
2. Step 2: Convert to fraction form
   10,052.54/13,872.24 = 5,576.28/x
3. Step 3: Cross multiply
   10,052.54x = 13,872.24 × 5,576.28
4. Step 4: Simplify right side
   10,052.54x = 77,355,494.47
5. Step 5: Solve for x
   x = 77,355,494.47/10,052.54
6. Step 6: Final answer
   x = 7,695.12