Finding the Fourth Proportional to 9,826.69, 13,561.13 and 5,634.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.69 : 13,561.13 = 5,634.94 : x
2. Step 2: Convert to fraction form
   9,826.69/13,561.13 = 5,634.94/x
3. Step 3: Cross multiply
   9,826.69x = 13,561.13 × 5,634.94
4. Step 4: Simplify right side
   9,826.69x = 76,416,134.07
5. Step 5: Solve for x
   x = 76,416,134.07/9,826.69
6. Step 6: Final answer
   x = 7,776.39