Finding the Fourth Proportional to 9,826.40, 13,561.68 and 5,634.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.40 : 13,561.68 = 5,634.56 : x
2. Step 2: Convert to fraction form
   9,826.40/13,561.68 = 5,634.56/x
3. Step 3: Cross multiply
   9,826.40x = 13,561.68 × 5,634.56
4. Step 4: Simplify right side
   9,826.40x = 76,414,099.66
5. Step 5: Solve for x
   x = 76,414,099.66/9,826.40
6. Step 6: Final answer
   x = 7,776.41