Finding the Fourth Proportional to 10,147.60, 14,003.84 and 5,671.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,147.60 : 14,003.84 = 5,671.64 : x
2. Step 2: Convert to fraction form
   10,147.60/14,003.84 = 5,671.64/x
3. Step 3: Cross multiply
   10,147.60x = 14,003.84 × 5,671.64
4. Step 4: Simplify right side
   10,147.60x = 79,424,704.09
5. Step 5: Solve for x
   x = 79,424,704.09/10,147.60
6. Step 6: Final answer
   x = 7,826.95