Finding the Fourth Proportional to 10,289.72, 14,199.88 and 5,813.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289.72 : 14,199.88 = 5,813.56 : x
2. Step 2: Convert to fraction form
   10,289.72/14,199.88 = 5,813.56/x
3. Step 3: Cross multiply
   10,289.72x = 14,199.88 × 5,813.56
4. Step 4: Simplify right side
   10,289.72x = 82,551,854.37
5. Step 5: Solve for x
   x = 82,551,854.37/10,289.72
6. Step 6: Final answer
   x = 8,022.75