Finding the Fourth Proportional to 9,884.75, 13,641.69 and 5,635.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,884.75 : 13,641.69 = 5,635.92 : x
2. Step 2: Convert to fraction form
   9,884.75/13,641.69 = 5,635.92/x
3. Step 3: Cross multiply
   9,884.75x = 13,641.69 × 5,635.92
4. Step 4: Simplify right side
   9,884.75x = 76,883,473.50
5. Step 5: Solve for x
   x = 76,883,473.50/9,884.75
6. Step 6: Final answer
   x = 7,777.99