Finding the Fourth Proportional to 9,826.41, 13,560.16 and 5,577.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.41 : 13,560.16 = 5,577.35 : x
2. Step 2: Convert to fraction form
   9,826.41/13,560.16 = 5,577.35/x
3. Step 3: Cross multiply
   9,826.41x = 13,560.16 × 5,577.35
4. Step 4: Simplify right side
   9,826.41x = 75,629,758.38
5. Step 5: Solve for x
   x = 75,629,758.38/9,826.41
6. Step 6: Final answer
   x = 7,696.58