Finding the Fourth Proportional to 10,511.92, 14,506.41 and 5,796.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,511.92 : 14,506.41 = 5,796.46 : x
2. Step 2: Convert to fraction form
   10,511.92/14,506.41 = 5,796.46/x
3. Step 3: Cross multiply
   10,511.92x = 14,506.41 × 5,796.46
4. Step 4: Simplify right side
   10,511.92x = 84,085,825.31
5. Step 5: Solve for x
   x = 84,085,825.31/10,511.92
6. Step 6: Final answer
   x = 7,999.09