Finding the Fourth Proportional to 10,511.72, 14,506.27 and 5,796.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,511.72 : 14,506.27 = 5,796.17 : x
2. Step 2: Convert to fraction form
   10,511.72/14,506.27 = 5,796.17/x
3. Step 3: Cross multiply
   10,511.72x = 14,506.27 × 5,796.17
4. Step 4: Simplify right side
   10,511.72x = 84,080,734.45
5. Step 5: Solve for x
   x = 84,080,734.45/10,511.72
6. Step 6: Final answer
   x = 7,998.76