Finding the Fourth Proportional to 10,585.12, 14,601.56 and 9,834.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.12 : 14,601.56 = 9,834.24 : x
2. Step 2: Convert to fraction form
   10,585.12/14,601.56 = 9,834.24/x
3. Step 3: Cross multiply
   10,585.12x = 14,601.56 × 9,834.24
4. Step 4: Simplify right side
   10,585.12x = 143,595,245.41
5. Step 5: Solve for x
   x = 143,595,245.41/10,585.12
6. Step 6: Final answer
   x = 13,565.76