Finding the Fourth Proportional to 10,511.82, 14,506.47 and 5,796.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,511.82 : 14,506.47 = 5,796.09 : x
2. Step 2: Convert to fraction form
   10,511.82/14,506.47 = 5,796.09/x
3. Step 3: Cross multiply
   10,511.82x = 14,506.47 × 5,796.09
4. Step 4: Simplify right side
   10,511.82x = 84,080,805.70
5. Step 5: Solve for x
   x = 84,080,805.70/10,511.82
6. Step 6: Final answer
   x = 7,998.69