Finding the Fourth Proportional to 10,146.80, 14,003.92 and 5,671.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.80 : 14,003.92 = 5,671.49 : x
2. Step 2: Convert to fraction form
   10,146.80/14,003.92 = 5,671.49/x
3. Step 3: Cross multiply
   10,146.80x = 14,003.92 × 5,671.49
4. Step 4: Simplify right side
   10,146.80x = 79,423,029.31
5. Step 5: Solve for x
   x = 79,423,029.31/10,146.80
6. Step 6: Final answer
   x = 7,827.39