Finding the Fourth Proportional to 10,148.54, 14,004.47 and 5,671.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,148.54 : 14,004.47 = 5,671.42 : x
2. Step 2: Convert to fraction form
   10,148.54/14,004.47 = 5,671.42/x
3. Step 3: Cross multiply
   10,148.54x = 14,004.47 × 5,671.42
4. Step 4: Simplify right side
   10,148.54x = 79,425,132.87
5. Step 5: Solve for x
   x = 79,425,132.87/10,148.54
6. Step 6: Final answer
   x = 7,826.26