Finding the Fourth Proportional to 9,826.88, 13,561.16 and 5,635.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.88 : 13,561.16 = 5,635.13 : x
2. Step 2: Convert to fraction form
   9,826.88/13,561.16 = 5,635.13/x
3. Step 3: Cross multiply
   9,826.88x = 13,561.16 × 5,635.13
4. Step 4: Simplify right side
   9,826.88x = 76,418,803.57
5. Step 5: Solve for x
   x = 76,418,803.57/9,826.88
6. Step 6: Final answer
   x = 7,776.51