Finding the Fourth Proportional to 9,822.88, 14,729.68 and 3,578.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.88 : 14,729.68 = 3,578.52 : x
2. Step 2: Convert to fraction form
   9,822.88/14,729.68 = 3,578.52/x
3. Step 3: Cross multiply
   9,822.88x = 14,729.68 × 3,578.52
4. Step 4: Simplify right side
   9,822.88x = 52,710,454.47
5. Step 5: Solve for x
   x = 52,710,454.47/9,822.88
6. Step 6: Final answer
   x = 5,366.09