Finding the Fourth Proportional to 9,825.06, 13,563.15 and 5,790.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.06 : 13,563.15 = 5,790.62 : x
2. Step 2: Convert to fraction form
   9,825.06/13,563.15 = 5,790.62/x
3. Step 3: Cross multiply
   9,825.06x = 13,563.15 × 5,790.62
4. Step 4: Simplify right side
   9,825.06x = 78,538,983.55
5. Step 5: Solve for x
   x = 78,538,983.55/9,825.06
6. Step 6: Final answer
   x = 7,993.74