Finding the Fourth Proportional to 9,805.75, 13,533.90 and 5,826.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,805.75 : 13,533.90 = 5,826.09 : x
2. Step 2: Convert to fraction form
   9,805.75/13,533.90 = 5,826.09/x
3. Step 3: Cross multiply
   9,805.75x = 13,533.90 × 5,826.09
4. Step 4: Simplify right side
   9,805.75x = 78,849,738.72
5. Step 5: Solve for x
   x = 78,849,738.72/9,805.75
6. Step 6: Final answer
   x = 8,041.18