Finding the Fourth Proportional to 10,288.89, 14,197.86 and 5,813.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,288.89 : 14,197.86 = 5,813.13 : x
2. Step 2: Convert to fraction form
   10,288.89/14,197.86 = 5,813.13/x
3. Step 3: Cross multiply
   10,288.89x = 14,197.86 × 5,813.13
4. Step 4: Simplify right side
   10,288.89x = 82,534,005.90
5. Step 5: Solve for x
   x = 82,534,005.90/10,288.89
6. Step 6: Final answer
   x = 8,021.66