Finding the Fourth Proportional to 10,147.71, 14,003.57 and 5,671.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,147.71 : 14,003.57 = 5,671.50 : x
2. Step 2: Convert to fraction form
   10,147.71/14,003.57 = 5,671.50/x
3. Step 3: Cross multiply
   10,147.71x = 14,003.57 × 5,671.50
4. Step 4: Simplify right side
   10,147.71x = 79,421,247.26
5. Step 5: Solve for x
   x = 79,421,247.26/10,147.71
6. Step 6: Final answer
   x = 7,826.52