Finding the Fourth Proportional to 10,146.71, 14,003.78 and 5,671.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.71 : 14,003.78 = 5,671.40 : x
2. Step 2: Convert to fraction form
   10,146.71/14,003.78 = 5,671.40/x
3. Step 3: Cross multiply
   10,146.71x = 14,003.78 × 5,671.40
4. Step 4: Simplify right side
   10,146.71x = 79,420,982.05
5. Step 5: Solve for x
   x = 79,420,982.05/10,146.71
6. Step 6: Final answer
   x = 7,827.26