Finding the Fourth Proportional to 10,288.84, 14,198.34 and 5,813.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,288.84 : 14,198.34 = 5,813.06 : x
2. Step 2: Convert to fraction form
   10,288.84/14,198.34 = 5,813.06/x
3. Step 3: Cross multiply
   10,288.84x = 14,198.34 × 5,813.06
4. Step 4: Simplify right side
   10,288.84x = 82,535,802.32
5. Step 5: Solve for x
   x = 82,535,802.32/10,288.84
6. Step 6: Final answer
   x = 8,021.88