Finding the Fourth Proportional to 10,511.69, 14,506.24 and 5,796.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,511.69 : 14,506.24 = 5,796.14 : x
2. Step 2: Convert to fraction form
   10,511.69/14,506.24 = 5,796.14/x
3. Step 3: Cross multiply
   10,511.69x = 14,506.24 × 5,796.14
4. Step 4: Simplify right side
   10,511.69x = 84,080,110.89
5. Step 5: Solve for x
   x = 84,080,110.89/10,511.69
6. Step 6: Final answer
   x = 7,998.73