Finding the Fourth Proportional to 10,511.54, 14,506.59 and 5,795.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,511.54 : 14,506.59 = 5,795.82 : x
2. Step 2: Convert to fraction form
   10,511.54/14,506.59 = 5,795.82/x
3. Step 3: Cross multiply
   10,511.54x = 14,506.59 × 5,795.82
4. Step 4: Simplify right side
   10,511.54x = 84,077,584.45
5. Step 5: Solve for x
   x = 84,077,584.45/10,511.54
6. Step 6: Final answer
   x = 7,998.60