Finding the Fourth Proportional to 11,456.16, 17,159.88 and 6,523.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,456.16 : 17,159.88 = 6,523.24 : x
2. Step 2: Convert to fraction form
   11,456.16/17,159.88 = 6,523.24/x
3. Step 3: Cross multiply
   11,456.16x = 17,159.88 × 6,523.24
4. Step 4: Simplify right side
   11,456.16x = 111,938,015.61
5. Step 5: Solve for x
   x = 111,938,015.61/11,456.16
6. Step 6: Final answer
   x = 9,770.99