Finding the Fourth Proportional to 9,823.98, 13,561.93 and 7,695.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,823.98 : 13,561.93 = 7,695.84 : x
2. Step 2: Convert to fraction form
   9,823.98/13,561.93 = 7,695.84/x
3. Step 3: Cross multiply
   9,823.98x = 13,561.93 × 7,695.84
4. Step 4: Simplify right side
   9,823.98x = 104,370,443.37
5. Step 5: Solve for x
   x = 104,370,443.37/9,823.98
6. Step 6: Final answer
   x = 10,624.05