Finding the Fourth Proportional to 9,826.29, 14,745.69 and 3,585.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.29 : 14,745.69 = 3,585.69 : x
2. Step 2: Convert to fraction form
   9,826.29/14,745.69 = 3,585.69/x
3. Step 3: Cross multiply
   9,826.29x = 14,745.69 × 3,585.69
4. Step 4: Simplify right side
   9,826.29x = 52,873,473.18
5. Step 5: Solve for x
   x = 52,873,473.18/9,826.29
6. Step 6: Final answer
   x = 5,380.82