Finding the Fourth Proportional to 9,839.12, 13,578.64 and 5,590.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.12 : 13,578.64 = 5,590.13 : x
2. Step 2: Convert to fraction form
   9,839.12/13,578.64 = 5,590.13/x
3. Step 3: Cross multiply
   9,839.12x = 13,578.64 × 5,590.13
4. Step 4: Simplify right side
   9,839.12x = 75,906,362.82
5. Step 5: Solve for x
   x = 75,906,362.82/9,839.12
6. Step 6: Final answer
   x = 7,714.75