Finding the Fourth Proportional to 10,052.37, 13,872.30 and 5,576.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,052.37 : 13,872.30 = 5,576.15 : x
2. Step 2: Convert to fraction form
   10,052.37/13,872.30 = 5,576.15/x
3. Step 3: Cross multiply
   10,052.37x = 13,872.30 × 5,576.15
4. Step 4: Simplify right side
   10,052.37x = 77,354,025.65
5. Step 5: Solve for x
   x = 77,354,025.65/10,052.37
6. Step 6: Final answer
   x = 7,695.10