Finding the Fourth Proportional to 9,839.34, 13,578.60 and 5,590.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.34 : 13,578.60 = 5,590.58 : x
2. Step 2: Convert to fraction form
   9,839.34/13,578.60 = 5,590.58/x
3. Step 3: Cross multiply
   9,839.34x = 13,578.60 × 5,590.58
4. Step 4: Simplify right side
   9,839.34x = 75,912,249.59
5. Step 5: Solve for x
   x = 75,912,249.59/9,839.34
6. Step 6: Final answer
   x = 7,715.18