Finding the Fourth Proportional to 10,052.06, 13,871.83 and 5,576.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,052.06 : 13,871.83 = 5,576.49 : x
2. Step 2: Convert to fraction form
   10,052.06/13,871.83 = 5,576.49/x
3. Step 3: Cross multiply
   10,052.06x = 13,871.83 × 5,576.49
4. Step 4: Simplify right side
   10,052.06x = 77,356,121.28
5. Step 5: Solve for x
   x = 77,356,121.28/10,052.06
6. Step 6: Final answer
   x = 7,695.55