Finding the Fourth Proportional to 10,052.64, 13,872.72 and 5,576.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,052.64 : 13,872.72 = 5,576.68 : x
2. Step 2: Convert to fraction form
   10,052.64/13,872.72 = 5,576.68/x
3. Step 3: Cross multiply
   10,052.64x = 13,872.72 × 5,576.68
4. Step 4: Simplify right side
   10,052.64x = 77,363,720.17
5. Step 5: Solve for x
   x = 77,363,720.17/10,052.64
6. Step 6: Final answer
   x = 7,695.86