Finding the Fourth Proportional to 11,654.26, 17,464.38 and 5,802.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,654.26 : 17,464.38 = 5,802.82 : x
2. Step 2: Convert to fraction form
   11,654.26/17,464.38 = 5,802.82/x
3. Step 3: Cross multiply
   11,654.26x = 17,464.38 × 5,802.82
4. Step 4: Simplify right side
   11,654.26x = 101,342,653.55
5. Step 5: Solve for x
   x = 101,342,653.55/11,654.26
6. Step 6: Final answer
   x = 8,695.76