Finding the Fourth Proportional to 10,191.21, 14,064.39 and 5,715.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,191.21 : 14,064.39 = 5,715.42 : x
2. Step 2: Convert to fraction form
   10,191.21/14,064.39 = 5,715.42/x
3. Step 3: Cross multiply
   10,191.21x = 14,064.39 × 5,715.42
4. Step 4: Simplify right side
   10,191.21x = 80,383,895.89
5. Step 5: Solve for x
   x = 80,383,895.89/10,191.21
6. Step 6: Final answer
   x = 7,887.57