Finding the Fourth Proportional to 10,147.87, 14,003.78 and 5,671.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,147.87 : 14,003.78 = 5,671.65 : x
2. Step 2: Convert to fraction form
   10,147.87/14,003.78 = 5,671.65/x
3. Step 3: Cross multiply
   10,147.87x = 14,003.78 × 5,671.65
4. Step 4: Simplify right side
   10,147.87x = 79,424,538.84
5. Step 5: Solve for x
   x = 79,424,538.84/10,147.87
6. Step 6: Final answer
   x = 7,826.72