Finding the Fourth Proportional to 9,849.12, 13,590.24 and 5,656.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,849.12 : 13,590.24 = 5,656.56 : x
2. Step 2: Convert to fraction form
   9,849.12/13,590.24 = 5,656.56/x
3. Step 3: Cross multiply
   9,849.12x = 13,590.24 × 5,656.56
4. Step 4: Simplify right side
   9,849.12x = 76,874,007.97
5. Step 5: Solve for x
   x = 76,874,007.97/9,849.12
6. Step 6: Final answer
   x = 7,805.17