Finding the Fourth Proportional to 9,826.40, 13,559.99 and 5,350.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.40 : 13,559.99 = 5,350.04 : x
2. Step 2: Convert to fraction form
   9,826.40/13,559.99 = 5,350.04/x
3. Step 3: Cross multiply
   9,826.40x = 13,559.99 × 5,350.04
4. Step 4: Simplify right side
   9,826.40x = 72,546,488.90
5. Step 5: Solve for x
   x = 72,546,488.90/9,826.40
6. Step 6: Final answer
   x = 7,382.81