Finding the Fourth Proportional to 9,582.14, 14,356.10 and 5,196.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,582.14 : 14,356.10 = 5,196.80 : x
2. Step 2: Convert to fraction form
   9,582.14/14,356.10 = 5,196.80/x
3. Step 3: Cross multiply
   9,582.14x = 14,356.10 × 5,196.80
4. Step 4: Simplify right side
   9,582.14x = 74,605,721.69
5. Step 5: Solve for x
   x = 74,605,721.69/9,582.14
6. Step 6: Final answer
   x = 7,785.92