Finding the Fourth Proportional to 10,511.94, 14,506.46 and 5,796.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,511.94 : 14,506.46 = 5,796.23 : x
2. Step 2: Convert to fraction form
   10,511.94/14,506.46 = 5,796.23/x
3. Step 3: Cross multiply
   10,511.94x = 14,506.46 × 5,796.23
4. Step 4: Simplify right side
   10,511.94x = 84,082,713.40
5. Step 5: Solve for x
   x = 84,082,713.40/10,511.94
6. Step 6: Final answer
   x = 7,998.79