Finding the Fourth Proportional to 9,826.58, 13,560.93 and 5,577.95

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.58 : 13,560.93 = 5,577.95 : x
2. Step 2: Convert to fraction form
   9,826.58/13,560.93 = 5,577.95/x
3. Step 3: Cross multiply
   9,826.58x = 13,560.93 × 5,577.95
4. Step 4: Simplify right side
   9,826.58x = 75,642,121.69
5. Step 5: Solve for x
   x = 75,642,121.69/9,826.58
6. Step 6: Final answer
   x = 7,697.71