Finding the Fourth Proportional to 10,511.88, 14,506.44 and 5,796.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,511.88 : 14,506.44 = 5,796.06 : x
2. Step 2: Convert to fraction form
   10,511.88/14,506.44 = 5,796.06/x
3. Step 3: Cross multiply
   10,511.88x = 14,506.44 × 5,796.06
4. Step 4: Simplify right side
   10,511.88x = 84,080,196.63
5. Step 5: Solve for x
   x = 84,080,196.63/10,511.88
6. Step 6: Final answer
   x = 7,998.59