Finding the Fourth Proportional to 10,052.79, 13,872.78 and 5,576.73

Step by Step Solution

1. Step 1: Write the proportion equation
   10,052.79 : 13,872.78 = 5,576.73 : x
2. Step 2: Convert to fraction form
   10,052.79/13,872.78 = 5,576.73/x
3. Step 3: Cross multiply
   10,052.79x = 13,872.78 × 5,576.73
4. Step 4: Simplify right side
   10,052.79x = 77,364,748.41
5. Step 5: Solve for x
   x = 77,364,748.41/10,052.79
6. Step 6: Final answer
   x = 7,695.85