Finding the Fourth Proportional to 10,193.48, 14,065.87 and 5,716.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,193.48 : 14,065.87 = 5,716.30 : x
2. Step 2: Convert to fraction form
   10,193.48/14,065.87 = 5,716.30/x
3. Step 3: Cross multiply
   10,193.48x = 14,065.87 × 5,716.30
4. Step 4: Simplify right side
   10,193.48x = 80,404,704.10
5. Step 5: Solve for x
   x = 80,404,704.10/10,193.48
6. Step 6: Final answer
   x = 7,887.86